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Mathematics · Arithmetic Progressions · NCERT Examples

Example 10

A complete, independently verified solution for NCERT Example 10.

Mathematics · Chapter 5 · NCERT Examples

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

NCERT Example

Example 10

Rows of a flower bed contain 23,21,19,…,5 rose plants. Find the number of rows.

Solution

Board-exam working:

an=a+(n1)da_n=a+(n-1)d

The row counts form an AP with a=23,d=21−23=−2 and last term l=5.

Use l=a+(n−1)d: 5=23+(n−1)(−2)=23−2n+2=25−2n.

Thus 2n=20 and n=10.

Check: a₁₀=23+9(−2)=23−18=5.

Final answer

10 rows.