For the G.P. a = 6,r = 2
then S10=
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EXPLANATION.
In the G.P.
⇒ a = 6.
⇒ r = 2.
As we know that,
First term of a G.P. = a = 6.
Common ratio of a G.P. = r = 2.
As we know that,
Formula of :
⇒ Sₙ = a(rⁿ - 1)/r - 1.
⇒ S₁₀ = 6(2¹⁰ - 1)/2 - 1.
⇒ S₁₀ = 6(2¹⁰ - 1).
⇒ S₁₀ = 6(1024 - 1).
⇒ S₁₀ = 6(1023).
⇒ S₁₀ = 6138.
MORE INFORMATION.
Supposition of terms in G.P.
(1) = Three terms as : a/r, a, ar.
(2) = Four terms as : a/r³, a/r, ar, ar³.
(3) = Five terms as : a/r², a/r, a, ar, ar².
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⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━
Henceforth, is 6138.
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