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Arithmetic Mean

If 8 arithmet...

Question

If 8 arithmetic means are placed between 2 and 17 then the 5th arithmetic mean will be:

A

61/3

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B

76/3

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C

31/3

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D

106/3

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Solution

The correct option is C
31/3

a = 2, a + 9d = 17 ⇒ d = $\frac{5}{3}$

∴ a + 5d = 2 + 5 . $\frac{5}{3}$ = $\frac{31}{3}$

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