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Arithmetic Progressions

CH05 Question Bank

CBSE_CH05_QUESTION_BANK

Grade 10

Question:

In an AP, if $7$ times the $7$th term equals $11$ times the $11$th term, the $18$th term is:

$0$
$1$
$18$
Cannot be determined

Step-by-Step Solution

Key Concept: Use the standard identity: if $m\cdot a_m = n\cdot a_n$ for $m<br>eq n$, then $a_{m+n}=0$.

Here $m=7,n=11$, and $m+n=18$, so by the standard identity $a_{18}=0$. [1.0 Mark]

Correct Answer: $0$

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