Question

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

3.5
,

6.125.

10.71875

.

.

.
.(1 point)
Responses

y=2+1.75x
𝑦
=
2
+
1.75
𝑥
y equals 2 plus 1.75 x

y=2(1.5)x
𝑦
=
2
(
1.5
)
𝑥
y equals 2 left parenthesis 1.5 right parenthesis superscript x baseline

y=21.5x
𝑦
=
2
1.5
𝑥
y equals Start Fraction 2 over 1.5 x End Fraction

y=2(1.75)x−1

Answer 1

Choose y = 2(1.75)^{x−1}.

Reason: each term is 1.75 times the previous (2→3.5→6.125→10.71875), so it's geometric with first term 2 and ratio 1.75: y = 2(1.75)^{n−1}.