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