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Arithmetic Mean

If numbers n ...

Question

If numbers n -2, 4n -1 and 5n +2 are in A.P., find the value of n and its next two terms.

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Solution

The numbers n -2, 4n -1 and 5n +2 are in A.P

$4 n - 1 = \frac{n - 2 + 5 n + 2}{2} = \frac{6 n}{2} = 3 n 4 n - 1 = 3 n n = 1$

The terms are -1,3,7,11,15

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If numbers n-2 , 4n-1 and 5n+2 are in AP. Find the value of n and its next two terms.

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