SOLUTION: By using the formula for the sum of n terms of a Geometric Progression, find the sum of the first 10 terms of the series 62.5, -25, 10, -4......, correct to 3 decimal place.

Algebra ->  Sequences-and-series -> SOLUTION: By using the formula for the sum of n terms of a Geometric Progression, find the sum of the first 10 terms of the series 62.5, -25, 10, -4......, correct to 3 decimal place.      Log On


   

Question 998312: By using the formula for the sum of n terms of a Geometric Progression, find the sum of the first 10 terms of the series 62.5, -25, 10, -4......, correct to 3 decimal place.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
By looking at this sequence, you can see that the ratio involved is (-2/5)...thus the remaining terms multiply by -0.4...and we get
62.5, -25, 10, -4, 1.6, -.64, .256, -.1024, .04096, -.016384
Then round these to three decimal places.