Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748.

Answers

Answer 1

Step-by-step explanation:

The formula used to determine the terms is

an = a1 × rn - 1

It is given that

a1 = 4

a8 = -8,748

Substituting the values in the formula

-8748 = 4 × r8 - 1

r7 = -8748/4

r7 = -2187

r = -3

So the 16th term is

a16 = 4 × 316-1

a16 = -57395628

Therefore, the 16th term is -57395628.


Related Questions



I need some help with this thank you!

Answers

Answer:

9

Step-by-step explanation:

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 6^0)^2

2^28(3^-2/2^3)^4 x 1/(3^-5 x 2^8 x 1)^2

2^28(3^-2/2^3)^4 x 243^2/256^2

2^28 x 1/2^12 x 3^8 x 243^2/256^2

243^2 x 1 x 2^28/256^2 x 3^8 x 2^12

2^28 x 243^2/2^12 x 3^8 x 256^2

2^16 x 243^2/3^8 x 256^2

2^16 x 3^10/2^16 x 3^8

=3^2

=9

find the sum of the even integers from 20 to 50.


with solutions please help​

Answers

Answer: 560

Step-by-step explanation:

There are [20, 22, 24, 26, 28]: 5 even integers for each ten numbers.

The 20's set can be written as 5*20 + (2+4 + 6 + 8) = 5*20 + (20) = 120

The 30's can be written: 5*30 + 20 = 170

40's: 5*40+20 = 220

50's: 5*50+20 = 270

60's: 5*60+20 = 320

Each set is incremented by 50

We want the sets for 20, 30, and 40, plus the number 50.

(120+170+220+50) = 560

You can also do this in Excel (attached). Set the first cell to 20, the next cell below equal to the cell above plus 2. Then draw the second cell down until you've reached 50. Then sum the cells to arrive at 560.

PLEASE ANSWER!!! 100 Points!
Can a square be determined given only
the length of a diagonal? Explain your
answer.

Answers

Answer:

No

Step-by-step explanation:

A diagonal divides a square into two congruent right trianglesWe can use the side lengths of the square to find the length of the diagonal.The angles of a square are equal to 90°

HELP ASAP PLS 10 POINTS ​

Answers

Answer:

try a or b hope this helps

Answer:

top right

Step-by-step explanation:

When you rotate a figure, does every point move the same distance? Explain.

Answers

Answer:

Yes

Step-by-step explanation:

Because the figure is only 1 product or thing

Yes. Since the angle of rotation is the​ same, the distance that each point moves is the same.

You buy 6 items for $25.60. About how much did you spend?

Answers

Answer:

$4.20 i divided

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

The question says about. So you have to Round 25.60. Since the 0.60 part is greater than 0.50, we round it up to 1. Now add 25 and 1 to get 26. Now multiply 26 x 6 to get your answer (156)

If Sarah sold 20 bags of dog treats for $3.25 each, how much money did she earn? You must show your work to earn full credit.

Answers

Answer:

$65

Step-by-step explanation:

20 bags of dog treats multiplied by 3.25 = $65.00

Sarah made 65 dollars.

Answer:

Sarah earned $65.

Step-by-step explanation:

Create an equation.

20 representing the bags she has sold, 3.25 representing the value of each bag. If Sarah sold 20 bags of dog treats, with each of them being worth 3.25, then 20(3.25) = 65, meaning Sarah earned $65.

Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total. Is Beckett's estimate reasonable? Explain your thinking.

Answers

Beckett’s estimate was incorrect by almost 10 percent; if he was thinking clearly, he would have known that he spent at LEAST $80 in total

Beckett spent $88 in total his estimate of $80 is wrong.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Beckett went to two different stores at the mall. He purchased a $36 hat at the first store and a $52 pair of shoes at the second. Beckett estimates that he spent a little less than $80 in total.

The total spending will be calculated as,

Total = 52 + 36

Total = $88

The estimated spending is $80. Therefore, Beckett spent $88 in total his estimate of $80 is wrong.

To know more about an expression follow

https://brainly.com/question/14345108

#SPJ1

May I please receive help????
Please

Answers

Answer:

43°

Step-by-step explanation:

Equation:

m∠ABD = m∠1 + m∠2

Substitute:

68° = m∠1 + (m∠1 + 18°)

Solve:

68° = m∠1 + (m∠1 + 18°)

68° = 2(m∠1) + 18°

50° = 2(m∠1)

25 = m∠1

Solution:

Know that we know that m∠1 is, we can add 18* to find m∠2

25° + 18° = 43°

-Chetan K

Help me please!Please look at the pic then tell me if im wrong on something.Thank you! :)

Answers

Answer: for every 3 triangles there are 5 squares. not 4. so the ratio is 3:5.

could you give me brainliest pls?

May I please receive help?

Please?

Just find m2

Answers

86-12 =74
The answer is 74 degrees

Answer:

I'll assume the question says "m<1 is 12 deg. more than m<2."

Step-by-step explanation:

m<WXZ is 86

m<1 + m<2 = 86

m<1 = m<2 + 12

(m<2 + 12) + m<2 = 86

2m<2 + 12 = 86

2m<2 = 74

m<2 = 37

m<1 = 49

m<1 + m<2 = 86 [Checks]

(5,6) and (6,8) equation of line​

Answers

Hdjdjdjdbdhdjdjdjdjdjjdirhebdudbxjd chbduxbxbdhxbxh

Write the number 1, 256 in expanded form.
0 10,000 + 200 + 50 + 6
0 1,000 + 200 + 50 + 6
0 100 + 200 + 50 + 6
O 100 + 20 + 5 + 6

Answers

Answer:

1,000 + 200 + 50 + 6

Answer: 1,000 + 200 + 50 + 6

Step by Step explanation:

Place Values:

1 = Thousands (1,000)
2 = Hundreds (200)
5 = Tens (50)
6 = Ones (6)

1,000 + 200 + 50 + 6 = 1,256

The formula 1/2 bh finds the area of what shape?

Answers

The formula ½ bh finds the area of a triangle.

Please check the picture.

Answer:

Triangle

Step-by-step explanation:

b -  base of the triangle

h - height or altitude

plz help. solve for x. i’ll give brainly

Answers

Answer:

x = 17.331....

Step-by-step explanation:

Basically use Tan on the calculator to find x. Look up "soh cah toa" if you still dont understand what I am doing.

Tan(37) = opposite / adjacent = x / 23

x = Tan(37) (23)                    multiply by 23 on both sides to get this

x = 0.753.... (23)                   now multiply the tan value on the calculator

x = 17.331....

multiplicative inverse of 7 raised to -2​

Answers

Answer:

The multiplicative inverse of 7 raised to - 2 is 72. Not actual 72 but 7 to the second power.

Step-by-step explanation:

please someone explain to me how did we multiply the denominator in this

Answers

ok so what you wanna do is use multiplication

Please help!!! Write 4x^2=12 in standard form?

Answers

Answer:

[tex]x = \sqrt{3} [/tex]

Step-by-step explanation:

4x^2=12

x^2=12/4

x= root 3

Use the GCF and the Distributive Property to find the sum.
42+66
Write each number as a product using the GCF as a​ factor, and apply the Distributive Property.
42+66=??

Answers

Answer:

40 plus (2)42 plus 6x11

Step-by-step explanation:

Multiply

help its due in 3 mins

Answers

Answer:

Can you please give me the question or link

Step-by-step explanation:

Solve the equation. Find x.
20x + 5 - 0 = 5x + 32.5*2

Answers


20x+5=5x+65
-5x -5
15x=60
x=60/15
x=4


Can someone tell me the answer to this please???

Answers

Answer:

36

Step-by-step explanation:

Answer:

It's 36 ya know

Step-by-step explanation:

60 and 60 so 36 and 36

:)

which expression shows 3 2/5 and -7 1/5 of the sum of integer and fraction parts

Answers

Answer:

-4  3/5

Step-by-step explanation:

3 2/5 + -7 1/5 = (3 - 7) + (2/5 + 1/5) = -4 3/5

Help!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Slope of a line perpendicular to y=4x+3 is −14 .

Step-by-step explanation:

...............

If you need the graph here it is

f(9) = -14. what is the value of f^-1(-14)
Please show step by step :)

Answers

Answer:

[tex]f^{-1}[/tex] (- 14) = 9

Step-by-step explanation:

f(9) = - 14 maps x = 9 to y = - 14

The inverse maps y = - 14 to x = 9 , that is

[tex]f^{-1}[/tex] (- 14) = 9

Jane has nickles and quarters in her pocket. There are 20 coins, totaling $3​

Answers

Answer:

It is 10 quarters and 10 nickels

10 x 25 = $2.50

10 x 5 = $0.50

2.50 + 0.50 = $3.00

***I hope this helps

Step-by-step explanation:

Eric has 240 coins in his collection 11/20 are pennies and 4/40 are nickels

Answers

Answer:

There would be 36 coins left

Step-by-step explanation:

I don't know if that was the question but you would do:

11/20x2=22/40

22/40+4/40=26/40

26/40=13/20

One twentieth of 240 is 12

12x3=36

Hope this helped

4/5 - 3/8

plz help me might give brainlist

Answers

Answer:

17/40

Step-by-step explanation:

4/5-3/8=32/40-15/40

=17/40

Answer:

Solution:

17/40 Alternative form 0.425

Step-by-step explanation:

Explanation how:

Write all numerators above the least common denominator 40

32-15/40

hope to help

What is the student error in the multiplication below?

Answers

Answer:

below what

Step-by-step explanation:


13. The length of a rectangle is 9 cm more than 2 times the width. If the perimeter of the rectangle is 60 cm,
what are its dimensions?
a. length = 7 cm; width = 23 cm
b. length = 5 cm; width = 16 cm
C. length = 23 cm; width = 7 cm
d. length = 23 cm; width = 16cm

Answers

Answer:

C. length = 23 cm; width = 7 cm

Step-by-step explanation:

Let the width is x, then the length is:

l = 2x + 9

Perimeter is:

P = 2(l + w)60 = 2(x + 2x + 9)30 = 3x + 93x = 21x = 7

Dimensions are:

Width = 7 cm, length = 2*7 + 9 = 23 cm

Correct choice is C

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