Question

how many terms are there in the A. P:8, 11,14......,152? ​

Answer 1

hi friend there are 45 terms

Answer 2

Given,

The AP series is 8,11,14.....152

To find,

The number of terms in the given AP.

Solution,

Let, there are n terms in the given AP series.

(Assume n as a variable to do the further mathematical calculations.)

So, the nth term will be

= a+(n-1)d

Here,

a = First term

n = number position of the term

d = common difference

Common difference = Second term - First term = 11-8 = 3

nth term = 8+(n-1)3 = 8+3n-3 = 5+3n

According to the data mentioned in the question,

5+3n = 152

3n = 147

n = 49

Hence, there are 49 terms in the AP series.