Question

Find the sixth term of an arithmetic sequence with t_(1)=2 and t_(n)=t_(n-1)+4.

Answer 1

The sixth term of the arithmetic sequence is 22.

Step-by-step explanation:

In this arithmetic sequence, the first term (t1) is 2 and the common difference between terms (d) is 4.

To find the sixth term (t6), we can use the formula:

tn = t1 + (n - 1) * d

Substituting the values into the formula, we get:

t6 = 2 + (6 - 1) * 4

t6 = 2 + 5 * 4

t6 = 2 + 20

t6 = 22

Therefore, the sixth term of the arithmetic sequence is 22.