Question

In Gp if a=1/2,r=1/3, then S6=?

Answer 1

Answer:

your answer is 182\243

Step-by-step explanation:

in g..p. a=1\2 and r=1\3

in g.p. r=less than one. so we take the formyla of sum

sn: [a(1-r^n)]÷[1-r)

a=1\2 ,r=1\3 and n=6

:[1\2{1-(1\3)^6}]÷[1-(1\3)]

:[1\2{1-(1\729)]÷[2\3]

:[1\2{728\729}]×[2\3]

:[1\2×{3\2}×{728\729}]

:[546÷729]=(182×3)÷(243×3)

:182\243

answer is 182\243