Question

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

A) 14/13
B) 25/7
C) 4​

Answer 1

C) 4

Explanation:

The nth term of arithmetic sequence is
`a_n=a_1+d(n-1)`

So:

`a_(15)=a_1+d(15-1)\\\\53=-3+14d\\\\56=14d\\\\d=(56)/(14)=4`