Sum 1-6

Find the sum of the geometric progression 3, 15, 75,… to six terms.

Correct result:

s6 =  11718

Solution:

a1=3 a2=15  r=a2/a1=15/3=5  s6=a1⋅ r6−1r−1=3⋅ 56−15−1=11718   Verifying Solution:  a3=75 a4=r⋅ a3=5⋅ 75=375 a5=r⋅ a4=5⋅ 375=1875 a6=r⋅ a5=5⋅ 1875=9375  S6=a1+a2+a3+a4+a5+a6=3+15+75+375+1875+9375=11718

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