Question

The first three terms of a sequence are given. Write your answer as a decimal or whole number. Round to the nearest thousandth necessary) 18, 30, 50 Find the 8th term.

Answer 1

The sequence is increasing with a common difference of 12 between each term.

To find the 8th term, we can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n-1)d

Plugging in the values we know:

a_8 = 18 + (8-1)12
a_8 = 18 + 7(12)
a_8 = 18 + 84
a_8 = 102

Therefore, the 8th term of the sequence is 102.