Question

Write a formula for the general term (the nth term) of the arithmetic sequence to find the sixth term of the sequence with the given first term and common difference.

Answer 1

Answer:

a₆ = 54

Step-by-step explanation:

The general term of an arithmetic sequence is: $a_1, a_1 + d, a_1 + 2d, a_1 + 3d, \hdots$

where, $a_1$ is the first term and

$d$ is the common difference.

The $n^{th}$ term of the sequence is given by $a_n = a_1 + (n - 1)d$.

Therefore, $a_6 = a_1 + (6 - 1)d = a_1 + 5d$

$\implies a_6 = 14 + 5(8) = 14 + 40$

∴ a₆ = 54