Find the 70th term of the following sequence.

...8, 16, 24, ...

1 answer

To find the 70th term of the sequence, we first need to understand the pattern of the sequence.

Looking at the sequence, we can see that each term is increasing by 8 from the previous term.

To find the 70th term, we can use the formula for arithmetic sequences:

An = A1 + (n-1)d

where An is the nth term of the sequence, A1 is the first term, n is the term number, and d is the common difference.

In this sequence, A1 = 8, d = 8, and n = 70.

Plugging the values into the formula, we get:

A70 = 8 + (70-1)8
A70 = 8 + 69(8)
A70 = 8 + 552
A70 = 560

Therefore, the 70th term of the sequence is 560.