Sequence and Series questions
1035 published questions with worked solutions.
- The interior angles of a polygon are in AP. If the smallest angle be 120^ and the common difference be 5, then the number of side...
- Let a,b,c be three positive real numbers which are in HP. Statement 1: a+b 2a-b + c+b 2c-b 4. Statement 2: If x>0, then x+ 1x 4.
- Given that n AM's are inserted between two sets of numbers a,2b and 2a,b where a,b R. Suppose further that m^ th mean between...
- The product of three geometric means between 4 and 14 will be
- If n geometric means between a and b be G_1,G_2, G_n and a geometric mean G, then the true relation is
- If x>1, y>1, z>1 are in GP, then 1 1+ x , 1 1+ y , 1 1+ z are in
- Three numbers form a GP. If the 3^ rd term is decreased by 64, then the three numbers thus obtained will constitute an AP. If the...
- In a GP the sum of three numbers is 14, if 1 is added to first two numbers and subtracted from third number the series becomes...
- If a,b,c are in GP and a- 2b, 2b- 3c and 3c- a are in AP, then a,b,c are the length of the sides of a triangle which is
- If a,b,c,d be in HP, then
- If every terms of a GP with positive terms is the sum of its two previous terms, then the common ratio of the series is
- If a_1,a_2,a_3, ,a_ 4001 are terms of an AP such that 1 a_1a_2 + 1 a_2a_3 + + 1 a_ 4000 a_ 4001 =10 and a_2+a_ 4000 =50, then...
- The sum of the series 1 3 5+2 5 8+3 7 11+ upto n term is
- If a,b,c,d are in HP, then
- The sum of the series 6+66+666+ upto n term is
- _ n=1 ^ 1 (n+1)(n+2) (n+k) is equal to
- If a,b,c are three distinct positive real numbers which are in HP, then 3a+2b 2a-b + 3c+2b 2c-b is
- Suppose a,b,c are in AP and a^2,b^2,c^2 are in GP. If a<b<c and a+b+c= 32, then the value of a is
- n^ th term of the series 1+ 45+ 7 5^2 + 10 5^3 + will be
- The sum of 10 terms of the series 2+ 6+ 18 + is
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