Question

If the second term in a geometric sequence is -8 and the common ratio is 2, what is the value of the third term
a. -16
b. -10
c. -6
d. -4

Answer 1

Answer:

a. -16

Step-by-step explanation:

a₂ = -8 , r = 2 , a =? , a₃=?

aₙ = ar ⁿ⁻¹

a₂ = ar²⁻¹

-8 = a×2¹

a = -4

a₃ = ar³⁻¹ = -4 × 2² = -4 × 4 = -16

thus, the third term is -16