SOLUTION: Write the following geometric series in summation notation -9/2 + 3/2 - 1/2. + 1/6 - ...+. 1/39366 Using the formula for the sum of a geometric series, compute the sum.

Question 1097575: Write the following geometric series in summation notation
-9/2 + 3/2 - 1/2. + 1/6 - ...+. 1/39366
Using the formula for the sum of a geometric series, compute the sum.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
, so .
The series is
.
It is a geometric series with 12 terms,
first term and common ratio .
The sum of the first terms of a geometric series with
first term and common ratio is
.
In this case, blindly applying that formula, we would calculate

A SMARTER WAY:
If we pair those 12 terms, we have 6 terms

forming a geometric series with first term and ratio
The sum then can be calculated as
==
RELATED QUESTIONS
write the geometric series -9/2 + 3/2 - 1/2 + 1/6 - .......... + 1/39366 in summation... (answered by Edwin McCravy,josmiceli)

Write geometric series -9/2+3/2-1/2+1/6- �� + 1/39366 in summation notation. Using the... (answered by MathLover1,ikleyn)

Write the geometric series -9/2 + 3/2 - 1/2 + 1/6- ... + 1/39366 in summation notation (answered by scott8148)

I can do this when the numbers are whole, but fractions are really throwing me off. Thank (answered by ewatrrr,Theo,KMST)

what is the geometric series {{{-9/2+3/2-1/2+1/6}}}-...+{{{1/39366}}} in summation... (answered by Edwin McCravy)

Hello. Hoping you can help me answer this question. A) write geometric series... (answered by Fombitz)

1) Find the sum of the series. 9 Σ k^2 k=1 2) Find the sum of the series. 6... (answered by ikleyn)

) Find the sum of the series. 9 Σ k^2 k=1 2) Find the sum of the series. 6... (answered by ikleyn)

Write the series in summation notation and find the sum... (answered by Boreal)