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Find the 37th term of the arithmetic sequence: -38,-8,22,52

1 Answer

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Answer:

1042

Explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042

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