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

well a term in an arithmetic sequence can be found using the formula

\[a_{n} = a + (n -1) \times d\]

you know n = 15 and a = -3 and a3 = 53

substitute and then solve for d