Question

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

y=2(1.5)x

y equals 2 left parenthesis 1.5 right parenthesis superscript x baseline

y=21.5x

y equals Start Fraction 2 over 1.5 x End Fraction

y=2(1.75)x−1

y equals 2 left parenthesis 1.75 right parenthesis superscript x minus 1 baseline

y=2+1.75x

y equals 2 plus 1.75 x

Answer 1

y = 2(1.75)^(x−1)

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