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Arithmetic Progressions — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsArithmetic Progressions2 Marks
Question
Is the sequence $0.2, 0.22, 0.222, 0.2222, …$. forms an $AP$? If it forms an $AP$, find the common difference d and write three more terms.
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Answer

$0.2, 0.22, 0.222, 0.2222, 000$
$a_2 - a_1 = 0.22 - 0.2 = 0.02$
$a_3 - a_2 = 0.222 - 0.22 = 0.002$
$As a_2 -a_1$​​​​​​​ $ \ne $ $a_3 - a_2,$ the given list of numbers does not form an AP.

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