Math, asked by sriramnithin24, 10 months ago

plz answer this very important

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Answered by Siyakale094
1

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Answered by Anonymous
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\huge\underline\mathbb{\red S\pink{O}\purple{L} \blue{UT} \orange{I}\green{ON :}}

Given that,

Find the common difference (d) of an AP

\tt\:a_{21}-a_{7}=84

Let,

  • a21 = a + 20d
  • a7 = a + 6d

\tt\:⟹\:(a + 20d) - (a + 6d) = 84

\tt\:⟹a + 20d - a - 6d = 84

\tt\:⟹14d = 84

\tt\:⟹d = \frac{84}{14}

\tt\:⟹d = 6

\underline{\boxed{\bf{\purple{∴ The\:common\:difference\:of\:AP\:a_{21}\:-\:a_{7}\:=\:6.}}}}

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