Find no. of terms in the AP 7,13,19....205 .

Given: Arithmetic progression 7,13,19....205 .

To find: No. of terms in the AP

Solution:

First-term a=7 

Common difference d=13−7=6

Last term = 205

Let the last term be the nth  term

We know that the n th   term of the arithmetic progression is given by a+(n−1)d

Therefore, a+(n−1)d=205

=>7+(n−1)×(6)=205

=>7−6+6n=205

=>1+6n=205

=>6n=205−1

=> n= 204/6

​

 => n=34

Number of terms in the given sequence is 34

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Updated on: 10-Oct-2022

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