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There are n A.M.s between 3 and 17. The ...

There are `n` A.M.s between 3 and 17. The ratio of the last mean to the first mean is 3:1. Find the value of `ndot`

Text Solution

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Let the series be `3, A_1, A_2, A_3, …….., A_n, 17 `
Given, `a_n/a_1 = 3/1`
We know total terms in AP are` n + 2`
So, `17` is the `(n + 2)th `term
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Knowledge Check

  • Sum of n A.M.'s between a and b is

    A
    `(n)/(2) (a + b)`
    B
    n(a + b)
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    B
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    n=16
    D
    n=15

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