Sequence and Series questions
1035 published questions with worked solutions.
- Let a_1,a_2,a_3, be terms of an AP. If a_1+a_2+ +a_p a_1+a_2+ +a_q = p^2 q^2 , p q, then a_6 a_ 21 equals
- If a,b and c are in AP, then which one of the following is not true?
- If the sum of first n terms of an AP is cn^2, then the sum of squares of these n terms is
- If an infinite geometric series the first term is a and common ratio is r. If the sum of the series is 4 and the second term is...
- In a geometric progression (GP) the ratio of the sum of the first three terms and first six terms is 125:152, the common ratio is
- If x,2x+2,3x+3, are in GP, then the fourth term is
- If sum of the series _ n=0 ^ r^n=S for |r|<1, then sum of the series _ n=0 ^ r^ 2n , 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?
- 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
- In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio...
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