Mathematics · Arithmetic Progressions · NCERT Examples

Example 3

A complete, independently verified solution for NCERT Example 3.

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Mathematics · Chapter 5 · NCERT Examples

Verified NCERT questions and solutionsSolutions are checked independently and follow the supplied NCERT chapter edition.

NCERT Example

nth term

Find the 10th term of 2, 7, 12, …

Board-exam working:

a_n=a+(n-1)d

Here a=2 and d=7−2=5.

We need n=10.

a₁₀=a+(10−1)d=2+9×5=2+45=47.

Check: a₉=2+8×5=42 and a₁₁=2+10×5=52, so the difference on both sides is 5.

47.