Question

Select the response that creates an accurate formula for the sequence 2, 3.5, 6.125. 10.71875 . . .
.(1 point)

y=2(1.75)^x−1


y=2(1.5)^x


y=2+1.75x


y=2/1.5x

Answer 1

y = 2(1.75)^(x−1)

Reason: each term is multiplied by 1.75 (3.5/2 = 6.125/3.5 = 1.75), so it's geometric with a1 = 2 and r = 1.75, giving a_n = 2(1.75)^(n−1).