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What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …

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Answer:

147

Explanation:

The n th term of an arithmetic sequence is


a_(n) = a + (n - 1)d

where a is the first term and d the common difference

here a = 3 and d = 9 - 3 = 15 - 9 = 6, hence


a_(25) = 3 + (24 × 6) = 3 + 144 = 147

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