Question 83996: Is this correct?
Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,
to find the following:
What is r, the ratio between 2 consecutive terms?
Answer: r = (1/2)/1 = 1/2
Show work in this space.
Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals.
Answer:
Show work in this space.
S(n) = a(1)[r ^(n + 1) 1)/(r 1)
S(10) = 1[(1/2) ^ 9 1] / [(1/2)-1]
S(10) = [-0.998046875
] / [-0.5] = 1.99609375
Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals.
Answer:
Show work in this space.
S(n) = a(1)[r ^(n + 1) 1)/(r 1)
S(12) = 1[(1/2) ^ 9 1] / [(1/2)-1]
S(12) = [-0.998046875
] / [-0.5] = 1.99609375
n = 12
Answer by jim_thompson5910(35256) (Show Source):
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