find a formula for an for the arithmetic sequence. a_1 = -4, a_5 = 16

snowlovelydayM

snowlovelydayM

Answered question

2021-09-15

find a formula for an for the arithmetic sequence. a1=4,a5=16

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2021-09-16Added 99 answers

Generic formula for an arithmetic sequence in which nth term equals the first term plus the common difference times the number of differences between the first term and the nth term:
an=a1+d(n1), then
1) a5=a1+4d
16=4+4d
d=5
2) an=4+5(n1)
an=4+5n5=5n9

Jeffrey Jordon

Jeffrey Jordon

Expert2021-09-27Added 2605 answers

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