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Input the values into the formula below

to find the 8th term in the sequence.
1
-1, 4, -16,...
4)
Ist term • common ratioſdesired term - 1)
[?] •[ ][ - 1)

Input the values into the formula below to find the 8th term in the sequence. 1 -1, 4, -16,... 4) Ist-example-1

1 Answer

7 votes

Answer:

The 8th term = -4,096

Explanation:

Given:

¼, -1, 4, -16, . . .

Required:

8th term of the sequence

Solution:

1st term = ¼

Common ratio = -1/¼ = 4/-1 = -16/4 = -4

Desired term = 8

Plug in the values into the formula given:


(1)/(4) * -4^((8 - 1))


(1)/(4) * -4^(7)


(1)/(4) * -16,384


(-16,384)/(4)

= -4,096

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