Question

In an A.P., there are 51 terms. The sum of 7th term and 45th term is 240. The 26th term of the A.P. will be .

• A. 120
• B. 240
• C. 160
• D. 80

Answer 1

The correct option is A 120

If there are odd number of terms in an A.P., then twice the middle term is equal to the sum of terms equidistant from the central term.
There are 51 terms, so middle term is 26th term.
7th term and 45th term are equidistant from the middle term.
So, $2\times a_{26}=a_7+a_{45}\Rightarrow 2\times a_{26}=240\Rightarrow a_{26}=120$