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Arithmetic Progressions
CH05 Question Bank
CBSE_CH05_QUESTION_BANK
Grade 10

Question:

If the sum of the first $n$ terms of an AP is $S_n = 5n - n^2$, find the $10$th term.

Step-by-Step Solution

Key Concept: Use $a_n=S_n-S_{n-1}$.
$S_{10}=50-100=-50$; $S_9=45-81=-36$. [1.0 Mark]

$a_{10}=S_{10}-S_9=-50-(-36)=-14$. [1.0 Mark]

Correct Answer:
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