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Deepak Bora
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Which term of the Arithmetic Progression –7, –12, –17, –22, … will be –82 ? Is –100 any term of the A.P. ? Give reason for your answer.

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CBSE 10th Class past year question paper

Year 2019

SET 1, Code Number- 30/2/1

Question number – 29 (a)

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1 Answer

  1. an = a + ( n – 1 ) d

    ∴ –82 = –7 + (n – 1) (–5)

    15 = n – 1 or n = 16

    Again,

    –100 = am= –7 + (m – 1) (–5)

    (m – 1)(–5) = –93

    m – 1 = 93/5  or m = 93/5 + 1 ∉ N

    ∴ –100 is not a term of the AP.

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