In an arithmetic sequence, the difference between one term and the next is constant.
The 65th term of the arithmetic sequence is -734
Given the following arithmetic sequence:
-30, -41, -52 The standard formula for the nth term of an arithmetic sequence is given as
a(n) = a + (n - 1)d
Where a = first term
n = number of term
d = common difference
Let find the common difference
Common difference = second term - first termCommon difference
= -41 - (-30)
Common difference = -41 + 30
Common difference = -11
Common difference = -52 - (-41)
Common difference = -52 + 41
Common difference = -11
Hence, the common difference
= -11
let:
a = -30n
= 65d = -11a(65)
= -30 + (65 - 1) * -11a(65)
= -30 + (64)*-11a(65)
= -30 + (-704)a(65)
= -30 - 704a(65)
= -734
Hence, the 65th term of the arithmetic sequence is -734
Read more about arithmetic sequence at
brainly.com/question/15412619
