Question

Find the 105th term of the AP 4,9/2,5,11/2,6........

Answer 1

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Answer 2

Concept

Arithmetic progression is that particular series in which there is a common difference between the terms.

Given

Series 4,9/2,5,11/2,6........

Find

We are asked to find the 105th term of the AP

Solution

First we will find the common difference by subtracting first term from second term

$\frac{9}{2}-4=\frac{1}{2}$

Now we will find the 105th term by using the formula

$a_{n} =a+(n-1)d\\a_{105}=4+(105-1)1/2\\ a_{105}=4+52\\a_{105}=56$

Hence 105th term of an AP is 56