Find the 34th term of the given sequence -31, -21, - 11, -1, 9, _____?

Find the 34th term of the given sequence -31, -21, - 11, -1, 9, _____?

Explanation

The given sequence is:

-31, -21, -11, -1, 9

Let's find the common difference (d):

d = (-21) - (-31) = 10

d = (-11) - (-21) = 10

d = (-1) - (-11) = 10

d = 9 - (-1) = 10

The sequence is an arithmetic progression (AP) with a common difference of 10.

The nth term of an AP is given by:

an = a + (n - 1)d

where a is the first term (-31), n is the term number (34), and d is the common difference (10).

a34 = -31 + (34 - 1) * 10

= -31 + 33 * 10

= -31 + 330

= 299