What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of - 8? an = 2 (-8) n - 1; all integers where n ≥ 1 an = 2 (-8) n - 1; all integers where n ≥ 0 an = 2 (-4) n - 1; all integers where n ≥ 0 an = 2 (-4) n - 1; all integers where n ≥ 1

Question

Mathematics

Kenzie Lewis

4 April, 05:06

What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of - 8? an = 2 (-8) n - 1; all integers where n ≥ 1 an = 2 (-8) n - 1; all integers where n ≥ 0 an = 2 (-4) n - 1; all integers where n ≥ 0 an = 2 (-4) n - 1; all integers where n ≥ 1

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Answers (1)

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Marques Huffman · Answer 1

Hello,

The question is

"What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of - 8?"

It is a geometric sequence = >U (2) = U (1) * r==>-8=2*r = = >r=-4

U (1) = 2=2 * (-4) ^0

U (2) = - 8=2 * (-4) = 2 * (-4) ^1

U (3) = 32=-8 * (-4) = 2 * (-4) (-4) = 2 * (-4) ^2

U (4) = - 128=32 * (-4) = 2 * (-4) ^3

...

U (n) = 2 * (-4) ^ (n-1) where n>=1.

Answer C