96-48+24...... Find the sum of 10 terms of the series?

1 Answer
Feb 18, 2018

The sum is going to be approximately #63.94#, or #1023/16#.

Explanation:

This is a geometric series with common ratio #-1/2#, first term #96#, and #n = 10#.

#s_n = (a(1 - r^n))/(1 - r)#

#s_10 = (96(1 - (-1/2)^10))/(1 - (-1/2))#

#s_10 ~~ 63.94#

Hopefully this helps!