Find the 77th term of the arithmetic sequence 8, 26, 44, ... 8,26,44, ...

1376

Step-by-step explanation:

In an arithmetic sequence, each term is larger than the previous one by a common difference, d.

In your sequence,

a₂ - a₁ = 26 - 8 = 18

a₃ - a₂ = 44 - 26 = 18

The common difference between successive terms is 18, so

d = 18

The formula for the nth term of an arithmetic sequence is

aₙ = a₁ + (n - 1) d

If n = 77, the formula becomes

a₇₇ = 8 + (77 - 1) * 18 = 8 + 76 * 18 = 8 + 1368 = 1376

The 77th term of your sequence is 1376