Question

Which is the 23rd term of the arithmetic series 5, 16, 27, ...? (3

Answer 1

An arithmetic series is a pattern of a series of numbers with same difference. First, let's find the difference:

16 -5 = 11
27- 16 = 11

So, the arithmetic series is obtained by adding 11 to every previous number. The formula for an arithmetic series is

An = A1 + (n - 1)d

where An is the nth term in the series, A1 is the 1st term in the series, n is the number of terms in the series and d is the difference. Hence,

A23 = 5 + (23 -1)11
A23 = 5 + 11(22)
A23 = 247

Thus, the 23rd term is 247.