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Sum of n Terms

Insert 3 ar...

Question

Insert $3$ arithmetic means between $2$ and $14$ .

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Solution

$a_{1} = 2 a_{5} = 14 n = 5 d = ? a_{n} = a + (n - 1) d a_{5} = a + (5 - 1) d 14 = 2 + 4 d 12 = 4 d d = 3 ∴ 2, 5, 8, 11, 14, . . . . .$

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