Use the formula to evaluate the series 2 10 50
Asked by maham237 @ in Mathematics viewed by 302 People
Use the formula to evaluate the series 2 - 10 + 50 -250 + ... a6 sn = a1(1-r^n) / 1-r
Answered by maham237 @
The given is a geometric sequence where the consecutive
terms have a common ratio of -5. The first term is given to be 2 and the number
of terms is 6. If we are to substitute the known variables to the equation,
Sn = (2)(1 – (-5)^6)
/ (1 - -5)
The value of Sn from the equation is -5208. Thus, the sum
of the first six terms of the geometric sequence is -5208.
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