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Arithmetic Progressions

CH05 Question Bank

CBSE_CH05_QUESTION_BANK

Grade 10

Question:

If the $n$th term of an AP is given by $a_n = 7 - 4n$, the common difference is:

$7$
$4$
$-4$
$-7$

Step-by-Step Solution

Key Concept: For a linear expression $a_n=A+Bn$, the common difference equals the coefficient of $n$.

$a_1=7-4=3$, $a_2=7-8=-1$. [0.5 Mark]

$d=a_2-a_1=-1-3=-4$. [0.5 Mark]

Correct Answer: $-4$

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