Question

72nd term of arithmetic sequence-27,-11,5

Answer 1

72nd term of the arithmetic sequence is 1109.

Explanation:

To find the 72nd term of an arithmetic sequence, you can use the formula:

nth term = first term + (n - 1) * common difference

In this case, the first term (a₁) is -27, and the common difference (d) can be calculated by subtracting the first term from the second term:

d = -11 - (-27) = 16

Now, plug in the values into the formula to find the 72nd term (a₇₂):

a₇₂ = -27 + (72 - 1) * 16

a₇₂ = -27 + 71 * 16

a₇₂ = -27 + 1136

a₇₂ = 1109

So, the 72nd term of the arithmetic sequence is 1109.