Mathematics · Arithmetic Progressions · NCERT Examples
Example 1
A complete, independently verified solution for NCERT Example 1.
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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
Example 1
For the AP 3/2, 1/2, −1/2, −3/2, …, write the first term and common difference.
Solution
Board-exam working:
The first term is the first listed number, so a=3/2.
d=a₂−a₁=1/2−3/2=(1−3)/2=−2/2=−1.
Check: a₃−a₂=−1/2−1/2=−1 and a₄−a₃=−3/2−(−1/2)=−1.
The common difference is constant.
Final answer
a = 3/2, d = −1.