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SEE THE AATACHMENT YOUR ANSWER IS THIS AND I THINK IT IS CORRECT
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Answer:
Given that
a = 729
T7 =64
We know that
Tn = arⁿ-1
T7 =729r^7-1=64
729r^6 = 64
r^6 = 64/729
r^6 =(2/3)^6
r = 2/3
we know that
Sn = a ( 1 - rⁿ)/(1 - r)
Sn = 729 ( 1 - 2/3^6 )/(1 - 2/3)
Sn = 729 ( 1 - 128/2187)/1/3
Sn = 729.3/1 ( 2187 -128/2187)
Sn = 2059
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