Answer:
The sum of the first six terms is
Step-by-step explanation:
Given series is 32-8+2-0.5+...
We may write
Let
Common ratio
Therefore the common ratio is
Therefore given sequence is of the form of Geometric sequence
The nth term of the geometric sequence is
First to find the 5th and 6th term
That is substitute n=5 and n=6 ,a=32 and in above equation we get
Therefore
Therefore
Therefore the sum of the first six terms is
Therefore the sum of the first six terms is