Question

in this particular arithmetic sequence, a6 = 36 and a17 = 113. what is the value of a23 a23=101 a23=155 a23=162 a23=167

Answer 1

Determine first the common difference (d) of the arithmetic sequence using the given terms,
d = (a17 - a6) / (17 - 6)
d = (113 - 36) / 11 = 7
Using the 17th term, 113, we get the value of a23 by,
a23 = a17 + (23 - 17) x 7
a23 = 113 + 42 = 155
Thus, the 23rd term is 155.