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Elden [556K]
3 years ago
11

What is the 8th term of the geometric sequence 4, -20, 100, ...?

Mathematics
1 answer:
Masja [62]3 years ago
7 0

Answer: Choice A) -312,500

=====================================

The long way to find the answer is to multiply each term by -5 until you've generated 8 terms total.

4 is the first term

-20 is the second term (4 times -5 = -20)

100 is the third term (-20 times -5 = 100)

100 times -5 = -500 which is the fourth term

-500 times -5 = 2500 which is the fifth term

2500 times -5 = -12500 which is the sixth term

-12500 times -5 = 62500 which is the seventh term

62500 times -5 = -312500 which is the eigth term

---------------------

A shortcut is to use the formula below

a(n) = a*(r)^(n-1)

Plug in a = 4, r = -5 and n = 8

a(n) = a*(r)^(n-1)

a(8) = 4*(-5)^(8-1)

a(8) = 4*(-5)^7

a(8) = 4*(-78125)

a(8) = -312,500

and we get the same answer

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2 years ago
What is (9 x2/3) x2/3
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2 years ago
A triangular pyramid has the same base and height as a triangular prism. The volume of the pyramid is 26 cubic centimeters. What
LUCKY_DIMON [66]
The formula for the volume of a triangular pyramid is:

V=1/3AH (where A=area of the base and H=height)

The formula for the volume of a triangular prism is:

V=AH (where A=area of the base and H=Height)

Since the base and the height are the same in this problem for both the prism and the pyramid, solving for the volume of the prism is simple.

Looking at the formulas, you'll see that the volume of the pyramid (assuming that both the height and the area of the base are the same) is 1/3 the volume of the prism.

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8 0
3 years ago
Read 2 more answers
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