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Arithmetic Progression

Between the n...

Question

Between the numbers $2$ and $20, 8$ arithmetic means are inserted, then their sum is

A

88

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B

44

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C

176

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D

68

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Solution

The correct option is C $88$
$\begin{matrix} 8 m e a n s i n s e r r t e d b / w 2 n u m b e r s n = 10 (n o . o f t e r m s) a = 2 (f i r s t n u m b e r) l = 20 (l a s t n u m b e r) S_{n} = \frac{n}{2} (a + l) = \frac{10}{2} (2 + 20) = 110 s u m o f 8 m e a n s = S_{n} - (2 + 20) = 110 - 22 = 88 \end{matrix}$

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