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Arithmetic Progressions

CH05 Question Bank

CBSE_CH05_QUESTION_BANK

Grade 10

Question:

Three numbers are in AP such that their sum is $30$. The middle number is:

$5$
$10$
$15$
Cannot be determined

Step-by-Step Solution

Key Concept: Writing the three numbers as (a-d), a, (a+d), their sum is always 3a, independent of d.

Let the numbers be $a-d,\ a,\ a+d$. Sum $=3a=30\Rightarrow a=10$. [1.0 Mark]

Correct Answer: $10$

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