Calculate 82845

Calculate the sum of the first 9 terms of the geometric sequence if a3 equals 2 and a4 equals 8.

Correct answer:

s9 =  2730.625

Step-by-step explanation:

a3=2 a4=8 q=a4/a3=8/2=4  a2=a3/q=2/4=21=0.5 a1=a2/q=0.5/4=81=0.125 a5=a4 q=8 4=32 a6=a5 q=32 4=128 a7=a6 q=128 4=512 a8=a7 q=512 4=2048  s9=a1+a2+a3+a4+a5+a6+a7+a8+a9=0.125+0.5+2+8+32+128+512+2048+a9=2730.625



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