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.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).