Arithmetic Progressions
RD Sharma
CBSE
Grade 10
Question:
The $11^{\text{th}}$ term of the A.P. $-3, -\dfrac{1}{2}, 2, \dots$ is:
(a) $28$
(b) $22$
(c) $-38$
(d) $-46.5$
Step-by-Step Solution
Key Concept: $a = -3, d = -1/2 - (-3) = 5/2$. $a_{11} = -3 + 10(5/2) = -3 + 25 = 22$.
$a_{11} = -3 + 10(5/2) = -3 + 25 = 22$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Evaluating $a_{11} = 22$: 1.0 Mark
Correct Answer: $22$
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