Mathematics questions
18011 published questions with worked solutions.
- The product of three geometric means between 4 and 14 will be
- If n = m , then the different values of will beNot in JEE Main syllabus
- 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
- Let n(>1) be a positive integer then the largest integer m such that (n^m+1 ) divides (1+n+n^2+ +n^ 127 ), is
- If x>1, y>1, z>1 are in GP, then 1 1+ x , 1 1+ y , 1 1+ z are in
- The sixth term of an AP is equal to 2. The value of the common difference of the AP which makes the product T_1T_4T_5 least, is...
- 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
- Sum of first n terms in the series ^ -1 3+ ^ -1 7+ ^ -1 13+ ^ -1 21+ is given by
- 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