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5 votes
Find the sum of the first 9 terms
of the geometric sequence: 0.5, 1, 2,-..

1 Answer

6 votes

Answer:

S₉ = 255.5

Explanation:

the sum to n terms of a geometric sequence is


S_(n) =
(a_(1)(r^(n)-1) )/(r-1)

where a₁ is the first term and r the common ratio

here a₁ = 0.5 and r =
(a_(2) )/(a_(1) ) =
(1)/(0.5) = 2 , then

S₉ =
(0.5(2^(9)-1) )/(2-1)

=
(0.5(512-1))/(1)

= 0.5(511)

= 255.5

User Mangara
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