Question

What is the sum of the arithmetic sequence 174, 168, 162 …, if there are 37 terms

Answer 1

See,

a = 174
d = 168 - 174 = -6

Find the last term Using:

\[\large t_n = a + (n-1)d\]

Here n= 37..

So,

\[\large t_n = 174 + (37-1)(-6)\]

Solve this for \(t_n\),,

Answer 2

-42?