Find the sum of the first five terms using the geometric series formula for the sequence 1/2, -1,2,-4…
1 answer:
The sum of the first five terms is 11/2
<h3>How to determine the sum?</h3>The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:
This gives
Evaluate
Evaluate
Hence, the sum of the first five terms is 11/2
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Let S(n) the statement, 2 is a factor of .
For n=1, 1^2 + 7(1) = 1 + 7 = 8, 1 is a factor of 8, then S(1) is true.
For n=2, we have 2^2 +7(2) = 4 +14 = 18, of course, 2 is a factor of 18, then S(2) is true.
For n=3, we have 3^2 +7(3) = 9 +21 = 30, of course, 2 is a factor of 30, then S(3) is true.