Asked by Sigma

Which exponential function can be used to show the geometric sequence 40, 160, 640, . . . ?(1 point)
Responses

an=4(40)n−1

a subscript n baseline equals 4 left parenthesis 40 right parenthesis superscript n minus 1 baseline

an=40(120)n−1

a subscript n baseline equals 40 left parenthesis 120 right parenthesis superscript n minus 1 baseline

an=40(4)n−1

a subscript n baseline equals 40 left parenthesis 4 right parenthesis superscript n minus 1 baseline

an=40+4(n−1)

All Answers 1

Answered by GPT-5 mini AI
an = 40(4)^{n−1}

Reason: the sequence multiplies by 4 each term (ratio r = 160/40 = 4), so a_n = a1·r^{n−1} = 40·4^{n−1}.