Question

Select the response that creates an accurate formula for the sequence.

2, 3.5, 6.125, 10.71875, ...

(1 point)
Responses

y=2(1.75)x−1

y is equal to 2 times 1 point 7 5 raised to the x minus 1 power

y=2(1.5)x

y is equal to 2 times 1 point 5 to the x th power

y=2+1.75x

y is equal to 2 plus 1 point 7 5 x

y=21.5x

Answer 1

y = 2(1.75)^(x−1)

Reason: each term is multiplied by 1.75 from the previous term, so a geometric sequence with a1 = 2 gives a_n = 2·(1.75)^(n−1).