Scribd
Upload
2 views3 pages

Lesson 1 Sat

Uploaded by

Ramulisa “UNWARY-MAN” UNWARY-MAN
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
2 views3 pages

Lesson 1 Sat

Uploaded by

Ramulisa “UNWARY-MAN” UNWARY-MAN
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 3

INFINITE SERIES

Ramulisa N. A
27 February 2021

Example 1

Find the sum to infinity of the geometric series:


1 1
3+1+ + + ...
3 9

Example 2

Give the geometric series:

256 + p + 64 − 32 + ...

a) Determine the value of p


b) Calculate the sum of the first eight terms of the series.
c) Why does the sum to infinity for the series exist.
d) Calculate S∞ .

Example 3

Given the geometric series:

8x2 + 4x3 + 2x4 + ...

a) Determine the nth term of the series.


b) For what value(s) of x will the series converge?

2
c) Calculate the sum of the series to infinity if
3
x=
2
.

Example 4
For which values of x will
∞
X
(4x − 1)k
k=1

will exist?

1 ACTIVITY
Given the geometric series: (x − 2) + (x2 − 4) + (x3 + 2x2 − 4x − 8) + ....

a) Determine the values of x for which the series converges.

b) if
3
x=−
2
, calculate the sum to infinity of the given series.

You might also like