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
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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