Question 5 6 points Find the partial sum of the first 100 te

Question 5 (6 points) Find the partial sum of the first 100 terms in the following sequences a) 3,6, 14,. 2, 2

Solution

a. The series is in geometric progression where first term, a=3 ratio, r=6/3=2

S=a(rⁿ-1)/(r-1)= 3(2¹⁰⁰-1)/(2-1)=3.8*10³⁰

b. The series is in arithmetic series with first term, a=7, common difference, d=-2

S=(100/2)(2*7+99(-2))= 50*-184=-9200