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Arithmetic Progressions

NCERT Exemplar

CBSE

Grade 10

Question:

What is the common difference of an AP in which $a_{18} - a_{14} = 32$?
(a) $8$
(b) $-8$
(c) $4$
(d) $-4$

Step-by-Step Solution

Key Concept: $a_{18} - a_{14} = 4d = 32$.

$(a + 17d) - (a + 13d) = 4d = 32$. [0.5 Mark]
$d = 8$. [0.5 Mark]

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🎯 Official CBSE Marking Scheme:
Setting $4d = 32$: 0.5 Mark
Solving for $d = 8$: 0.5 Mark

Correct Answer: $8$

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