Find the sum of a finite geometric sequence from n = 1 to n = 5, using the expression -3(4)^n - 1. a) -1,023 b) 1,223 c) 1,023 d) -4,374

The formula of a sum of the geometric sequence:

We have:

Substitute:

A) -1,023

Option A. -1023

Step-by-step explanation:

If we form the finite geometric sequence by using expression by putting n = 1, 2, 3, 4, 5.

Sequence will be = -3, -12, -48, -192, -768

Now we can either do the total of all numbers of the sequence or use the formula to calculate the sum.

Total of terms = (-3) + (-12) + (-48) + (-192) + (-768) = -1023

Or by using formula

Sum =

Here a = -3

r = (-12)/(-3) = 4

n = 5

Therefore sum of the sequence =

Option A is the answer.

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