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Arithmetic Progressions

CH05 Question Bank

CBSE_CH05_QUESTION_BANK

Grade 10

Question:

For what value of $k$ are the numbers $k-1, 2k+1, 4k+3$ three consecutive terms of an AP?

Step-by-Step Solution

Key Concept: For three consecutive AP terms, twice the middle term equals the sum of the outer two.

$2(2k+1)=(k-1)+(4k+3)\Rightarrow 4k+2=5k+2$. [1.0 Mark]

$\Rightarrow k=0$. [1.0 Mark]

Correct Answer:

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