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!!!!!!!! 50 POINTS !!!!!!!!What are the explicit equation and domain for a geometric sequence with a first term of 2 and a second term of āˆ’8?

an = 2(āˆ’8)^(n āˆ’ 1); all integers where n ā‰„ 1
an = 2(āˆ’8)^(n āˆ’ 1); all integers where n ā‰„ 0
an = 2(āˆ’4)^(n āˆ’ 1); all integers where n ā‰„ 0
an = 2(āˆ’4)^(n āˆ’ 1); all integers where n ā‰„ 1

Respuesta :

sqdancefan

Answer:

Ā  an = 2(āˆ’4)^(n āˆ’ 1); all integers where n ā‰„ 1

Step-by-step explanation:

The equation has the form ...

Ā  an = a1(r)^(n-1) . . . . . where a1 is the first term and r is the common ratio.

The first term is given as 2, and the ratio will be the ratio of the first two terms:

Ā  r = (-8)/(2) = -4

Terms are numbered starting with n=1, so the formula is ...

Ā  an = 2(-4)^(n-1) for nā‰„1

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