auto ad

Showing posts with label sequences and series. Show all posts
Showing posts with label sequences and series. Show all posts

Thursday, February 19, 2009

sum of n terms of a geometric progression

find the nth term of the series 1 + 2 + 4 + 8 + 16 + ...
Also find the sum of the first n terms

The sequence 1, 2 , 4 , 8 , 16 , ... is a geometric progression (G.P.) with
first term a=1 and common ratio, r = 2
since 2/1 = 4/2 = 8/4 =16/8 = ...

nth term = a {r ^ ( n-1) } = 2^(n-1)

try the following page for formulae on sequences and series AP and GP
-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work





Sunday, February 1, 2009

problem on sequences

If Sn is the sum of the cubes of the first n natural numbers, find the sum of 1 / sqrt(Sn) where n varies from 1 to 2000
first use the formula for sum of the cubes of the first n natural numbers
take the square root and the reciprocal then adjust into a telescoping series


-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work








Saturday, January 31, 2009

problem on A.P. arithmetic progression

find the sum of all even natural numbers between 2 and 200 (both inclusive ) excluding the multiples of 3.

multiple of both 2 and 3 means multiple of 6 (lcm)

formulae on progressions A.P. G.P H.P. etc

-----------------------------------------------------------
please leave your comments below
------------------------------------------------------------
index of math problems


disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work