Arithmetic Progressions
CH05 Question Bank
CBSE_CH05_QUESTION_BANK
Grade 10
Question:
If the sum of the first $p$ terms of an AP equals the sum of the first $q$ terms ($p
eq q$), then the sum of the first $(p+q)$ terms is:
$0$
$p+q$
$\dfrac{p+q}{2}$
Cannot be determined
Step-by-Step Solution
Key Concept: This is a well-known standard result derived from equating the two sum expressions and simplifying.
This is a classical AP identity: if $S_p=S_q$ for $p
eq q$, then necessarily $S_{p+q}=0$. [1.0 Mark]
Correct Answer: $0$
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