Answer:
The sum of 8 term of the series is
or 127.5
Explanation:
Given: The series
+ 1 +2 +4 + ...
We need to find the sum of 8 term
Common ratio, r
First term,
![a=(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/fpr39kf5vc0dbwkaui88x7ryih81kjybzj.png)
n=8
Formula:
![S_n=(a(r^n-1))/((r-1))](https://img.qammunity.org/2019/formulas/mathematics/high-school/fv1an9ygc5mjrrwp74mafi83gvx7f9xwy2.png)
Substitute the value of a, r and n into formula
Sum of 8th term of the sequence
![S_8=(1/2(2^8-1))/(2-1)](https://img.qammunity.org/2019/formulas/mathematics/high-school/5rhbrwslz9gm9f9uwy02dj8g4an9jdrhs7.png)
![S_8=(255)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/oqp8ajy80jv5lw396b14ntil605tcsyvs0.png)
Hence, The sum of 8 term of the series is
or 127.5