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Question

Find the 20th term from the last term of the AP: 3, 8, 13, ...., 253.


  1. 164

  2. 158

  3. 152

  4. 182


Solution

The correct option is B

158


We want to find 20th term from the last term of given AP. So, let’s write given AP in this way:  253... 13, 8, 3

First term = a=253

Common Difference = d=813=5

Using formula an=a+(n1)d,   to find nth term of arithmetic progression, we can say that

a20=253+(201)(5)

 a20=253+19(5)=25395=158

Therefore, the 20th term from the last term of given AP is 158.

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