milkcows08 milkcows08

07-02-2017
Mathematics

Answered

The first term of an arithmetic sequence is-3 and the 15 term is 53. What is the common difference of the sequence?

Verified Answer :

LammettHash LammettHash

07-02-2017

\(a_2=a_1+d\)
\(a_3=a_2+d=a_1+2d\)
\(a_4=a_3+d=a_1+3d\)
...
\(a_{15}=a_1+14d\)

Since \(a_1=-3\) and \(a_{15}=53\), the common difference \(d\) is

\(53=-3+14d\implies d=4\)

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