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Arithmetic Progressions — Maths STD 10 — Question

Gujarat BoardEnglish MediumSTD 10MathsArithmetic Progressions1 Mark
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$
$\text { As } a_2-a_1 \neq a_3-a_2$
the given list of numbers does not form an $AP$.

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