Find the 23rd term of the arithmetic sequence. Use the drop-down lists find the common difference, to write the Explicit Formula, and to find the 23rd term.

Question

The sequence is -4, -7, -10, -13

Answer 1

The common difference is -3.

The explicit formula is: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.

To find the 23rd term, we can substitute the values into the explicit formula:

a_23 = -4 + (23-1)(-3)
a_23 = -4 + 22(-3)
a_23 = -4 - 66
a_23 = -70

Therefore, the 23rd term of the arithmetic sequence is -70.