1. write the first five terms of the sequence defined by the explicit formula an= (-2)^n-1. (1 point)

The first five terms of the sequence is 1, –2, 4, –8, 16.

Solution:

Given explicit formula is .

To find the first five terms of the sequence, substitute n = 1, 2, 3, 4 and 5 in the given explicit formula.

For n = 1, we get

    = 1  (Using exponent rule )

For n = 2, we get

For n = 3, we get

    = 4

For n = 4, we get

    = –8

For n = 5, we get

   = 16

Hence, the first five terms of the sequence is 1, –2, 4, –8, 16.

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