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Sum of N Terms of an AP

The sum of 3 ...

Question

The sum of 3 terms in AP is $24$ if the common difference is $5$ find the terms

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Solution

The terms be $a - d, a, a + d$
Their sum is $24 ⟹ a - d + a + a + d = 24 3 a = 24 a = 8$
The common difference is $5$
So the terms are $3, 8, 13$

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