What is the 27th term of the A.P. 3, 7, 11, ...?

The correct answer is Option (2) → 107

In an arithmetic progression each term is the previous one plus a fixed common difference \(d\). The 27th term is the first term plus 26 such steps, so the \(n\)th term is \(a+(n-1)d\), where \(a\) is the first term.

• First term \(a=3\), common difference \(d=7-3=4\)

• 27th term: \(a_{27}=3+(27-1)\times4=3+104=107\)