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Find the 62nd term of the following arithmetic sequence.17,  22,  27,  32,   …312

Question

Find the 62nd term of the following arithmetic sequence.17,  22,  27,  32,   …312

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Solution

The formula for the nth term of an arithmetic sequence is:

a_n = a_1 + (n - 1) * d

where: a_n is the nth term a_1 is the first term d is the common difference

In this sequence, a_1 = 17 and d = 22 - 17 = 5.

So, to find the 62nd term:

a_62 = 17 + (62 - 1) * 5 a_62 = 17 + 61 * 5 a_62 = 17 + 305 a_62 = 322

So, the 62nd term of the sequence is 322.

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