Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- Find the sum to n terms of the sequence (x+1//x)^2,(x^2+1//x)^2,(x^3+1...
Text Solution
|
- Write the first five terms of the following sequence and obtain the ...
Text Solution
|
- Prove that the sum to n terms of the series 11+103+1005+ i s(10/9)(10^...
Text Solution
|
- If a(n+1)=1/(1-an) for n>=1 and a3=a1. then find the value of (a200...
Text Solution
|
- Determine the number of terms in a G.P., if a1=3,an=96 ,a n dSn=189.
Text Solution
|
- Let {an}(ngeq1) be a sequence such that a1=1,a n d3a(n+1)-3an=1 for a...
Text Solution
|
- Let S be the sum, P the product, and R the sum of reciprocals of n ter...
Text Solution
|
- If the pth term of an A.P. is q and the qth term is p , then find its ...
Text Solution
|
- Find the product of three geometric means between 4 and 1/4.
Text Solution
|
- if (m+1)th, (n+1)th and (r+1)th term of an AP are in GP.and m, n and r...
Text Solution
|
- Insert four G.M.’s between 2 and 486.
Text Solution
|
- Find the sum 1^2+(1^2+2^2)+(1^2+2^2+3^2)+ up to 22nd term.
Text Solution
|
- If G is the geometric mean of xa n dy then prove that 1/(G^2-x^2)+1/(G...
Text Solution
|
- If the A.M. of two positive numbers aa n db(a > b) is twice their geom...
Text Solution
|
- The sum of infinite number of terms in G.P. is 20 and the sum of their...
Text Solution
|
- Find the sum of the series 1+2(1-x)+3(1-x)(1-2x)+....+n(1-x)(1-2x) ...
Text Solution
|
- Prove that 6^(1//2)xx6^(1//4)xx6^(1//8)...oo=6.
Text Solution
|
- Three numbers are in G.P. whose sum is 70. If the extremes be each mul...
Text Solution
|
- If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n d z=c+c/(r^2)+c/(r^4)+o...
Text Solution
|
- Find the sum of n terms 1+4+13+40+121+....dot
Text Solution
|