Question

What is the recursive formula for this geometric sequence?

2,-10, 50, -250, ...
=
O A. (2
O B.
O C.
an = 3n-1 (-5)
(a₁ = 2
an = an-1.5
(2₁ = -5
Lan
an = an-1.2
O D. (²8)
= 2
= 8-1 (-8)

Answer 1

The recursive formula for the geometric sequence is a_n = -5a_(n-1), with the first term a_1 = 2

Step-by-step explanation:

The recursive formula for the given geometric sequence is an = -5an-1.

The first term, a1, is 2. To find each subsequent term, you multiply the previous term by -5.

a1 = 2

a2 = -5(2) = -10

a3 = -5(-10) = 50

a4 = -5(50) = -250

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