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General Form of an AP

Find the valu...

Question

Find the value of $d$ if $a = 3.5, n = 105, a_{n} = 3.5$

d = 1

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d = 0

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d = 0.5

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d = - 1

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Solution

The correct option is B $d = 0$
Given: $a = 3.5, a_{n} = 3.5$ where $n = 105$
$\Rightarrow a_{105} = 3.5$

We know that $a_{n} = a + (n - 1) d$

$\Rightarrow 3.5 + (105 - 1) d = 3.5$

$\Rightarrow 3.5 + 104 d = 3.5$

$\Rightarrow d = 0$

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