79.7k views
4 votes
Which is the 23rd term of the arithmetic series 5, 16, 27, ...? (3

1 Answer

4 votes
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.
User Ankidaemon
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories