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Suppose you are given the arithmetic sequence 3 , 17 , 31 , 45 , ⋯ . What is the sum of the first 25 terms of this sequence?

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Answer:

formula:

[tex]sn = \frac{n(2a + (n - 1)d)}{2} [/tex]

Sn = 25 (2(3) + (25-1)14) /2

Sn = 25 (6 + (24)14) /2

Sn = 25 (342) /2

Sn = 4275

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