Mathematics questions
18011 published questions with worked solutions.
- If sum of the series _ n=0 ^ r^n=S for |r|<1, then sum of the series _ n=0 ^ r^ 2n , is
- The value of n for which x^ n+1 +y^ n+1 x^n+y^n is the geometric mean of x and y is
- Fifth term of a GP is 2, then the product of its 9 terms is
- The value of 9^ 1/3 9^ 1/9 9^ 1/27 is
- The first term of a GP is 7, the last term is 448 and sum of all term is 889, then the common ratio is
- If a_n is a sequence with a_0=p and a_n-a_ n-1 =ra_ n-1 for n 1, then the terms of the sequence are in
- Three numbers are in GP such that their sum is 38 and their product is 1728. The greatest number among them is
- If the (p+q)^ th term of a geometric series is m and the (p-q)^ th term is n, then the p^ th term is
- If x=1+a+a^2+ and y=1+b+b^2+ where a and b are proper fractions, then 1+ab+a^2b^2+ equals
- Which term of the GP 3,3 3,9, is 2187?
- Geometric mean of 7,7^2,7^3, 7^n is
- If S is the sum of an infinite GP, the first term a, then the common ratio r is given by
- The product (32)(32)^ 1/6 (32)^ 1/36 to is
- If sum of an infinite geometric series is 43 and its 1^ st term is 34, then its common ratio is
- The sum of a GP with common ratio 3 is 364 and last term is 243, then the number of terms is
- If a,b,c,d and p are distinct real numbers such that (a^2+b^2+c^2 )p^2-2(ab+bc+cd)p+ (b^2+c^2+d^2 ) 0, then
- In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio...
- An infinite GP has first term x and sum 5, then
- If a_1,a_2, a_ 50 are in GP, then a_1-a_3+a_5- +a_ 49 a_2-a_4+a_6- +a_ 50 is equal to
- If a,b and c are in AP, then 2^ ax+1 ,2^ bx+1 ,2^ cx+1 , x 0 are in