Write the explicit formula for the sequence 8,-16,32,-64,... What is the 13th term sequence?

Answer 1

Hello Logan!

Note that:

-16/8 = -2

32/(-16) = -2

-64/32 = -2

It looks like every term is the previous one multiplied by -2.

So we can use the formula:

a_n = 8*(-2)^n-1

The 13rd term will be:

a₁₃ = 8*(-2)¹² = 32,768

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