What is the 40th term of the sequence that begins -2, 6, 14, 22...?

Answer 1

To find the 40th term of the sequence, we first need to determine the pattern in the sequence.

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

So, the nth term of the sequence can be represented by the formula:

a_n = -2 + 8(n-1)

Now, we can substitute n = 40 into the formula to find the 40th term:

a_40 = -2 + 8(40-1)
a_40 = -2 + 8(39)
a_40 = -2 + 312
a_40 = 310

Therefore, the 40th term of the sequence is 310.