CBSE Class 11-science Answered
Link to question :
Asked by buttercup | 09 Mar, 2012, 08:00: PM
Expert Answer
we can see that Sk = a/(1-r) = 1/fact(k-1)
Now in the summation for k = 1 , 2 we get |(k2 - 3k + 1)Sk| = 1 + 1 = 2
For k = 3 to 100
We can write (k2 - 3k + 1)Sk = (k2 - 3k + 1)/fact(k-1) = {(k-1)(k-2) - 1}/fact(k-1) =
1/fact(k-3) - 1/fact(k-1)
Now for k = 3 to 100
we get summation as { 1/fact(0) + 1/fact(1) + 1/fact(2) + .... 1/fact(97) } -
{ 1/fact(2) + 1/fact(3) + ...... + 1/fact(99) }
= 2 - { 1/fact(98) + 1/fact(99) } = 2 - 100/fact(99) = 2 - 100sq/fact(100)
When we add it to (100)sq/fact(100) , we get Answer = 2
Answered by | 11 Mar, 2012, 03:49: PM
Application Videos
-
Sum of infinite terms of an Arithmetic-Geometric Progre ...
Video contains the question based on how to find the sum of infinite terms ...
Concept Videos
-
Concepts of sequence and series - Introduction
Introduce the concept of sequences and series, their types and specific typ... -
Arithmetic Progressions
This video covers examples on condition for a sequence to be an arithmetic ... -
Relationship between A.M. and G.M.
This video explains the geometric Mean of two numbers and inserting numbers... -
Special Sequences and Series
This video covers examples related to Summation of a series containing squa... -
Arithmetic Mean
This video explains the arithmetic mean of two numbers, inserting n numbers...
CBSE 11-science - Maths
Asked by cubesneha.2005 | 07 Feb, 2024, 12:55: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by hridayjayaram085 | 31 Jan, 2024, 10:53: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by prashantbharati75 | 29 Sep, 2023, 09:30: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Bhaveshkr211 | 30 Jul, 2023, 05:20: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sakshirana374 | 24 Jul, 2022, 05:39: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by sanjuktamukherjee165 | 24 Oct, 2021, 11:04: AM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by rahulksinha200 | 16 Oct, 2021, 02:08: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by Vibhorjarora798 | 21 Aug, 2021, 05:43: PM
ANSWERED BY EXPERTCBSE 11-science - Maths
Asked by shivangkarol | 16 Jun, 2021, 01:18: PM
ANSWERED BY EXPERT
