Find the indicated term of the given geometric sequence.

a = –5, r = –2, n = 3
Question 16 options:

–20

–41

10

40

the first option is correct.

Step-by-step explanation:

In a geometric sequence, each consecutive term differ by a common ratio, r.

The formula for determining the nth term of a geometric progression is expressed as

an = a1r^(n - 1)

Where

a1 represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = - 5

r = - 2

n = 3

Therefore, the 3rd term, T3 is

T3 = - 5 × - 2^(3 - 1)

T3 = - 5 × - 2^2

T3 = - 5 × 4

T3 = - 20