2024-06-28 | The sum of all positive integers n for which13+23+….+(2n)312+22+…..+n2 is also an .... |
2024-06-28 | If a1,a2,a3,…a2n+1, are in A.P., then a2n+1-a1a2n+1+a1+a2n-a2a2n+a2+….+an+2-anan+2.... |
2024-06-28 | Let xn,yn,zn,wn denotes nth terms of four different arithmetic progressions with positive terms..... |
2024-06-28 | Let r1,r2,r3,r4 be the roots of the equation, x4-9x3+ax2+bx+16=0 where a,b are constants. Then t.... |
2024-06-28 | If a,b,c,d∈R+and a,b,c,d are in H.P., then .... |
2024-06-28 | If a1a2a3…an are in H. P. then a1a2+a2a3+a3a4+…+ an-1an is equal to.... |
2024-06-28 | If the series limit of wavelength of the Lyman series for the hydrogen atoms is 912Å, then the s.... |
2024-06-28 | Let tr=2r/2+2-r/2. Then ∑r=110tr2 is equal to.... |
2024-06-28 | If 12+22+32+…+20032=(2003) (4007) (334) and (1) (2003) + (2) (2002) + (3) (200.... |
2024-06-28 | The sum of the series x1-x2+x21-x4+x41-x8+⋯,to infinite terms, if |x|<1, is.... |
2024-06-28 | If ∑r=1nr4=I(n) then ∑r=1n(2r-1)4 is equal to.... |
2024-06-28 | If x1,x2,…,x20 are in H.P. and x,2,x20 are in G.P.. then ∑r=119xrxr+1=.... |
2024-06-28 | Greatest integer by which 1+∑r=130r×r ! is.... |
2024-06-28 | If the ratio of A.M. between two positive real numbers a andb to their H.M. is m : n, then a : b.... |
2024-06-28 | In the given square, a diagonal is drawn and parallel line segments joining points on the adjace.... |
2024-06-28 | If A1,A2;G1,G2 and H1,H2 be two A.M.'s, G.M.'s and H.M.'s between two quantities, then the value.... |
2024-06-28 | If [an] is an arithmetic sequence, then Δ=amanapmnp111 equal.... |
2024-06-28 | If the sum of first p terms, first q terms and first rterms of an A.P. be x, y and z respectivel.... |
2024-06-28 | 12+22+…+n2=1015, then value of n is .... |
2024-06-28 | The sum of the first n-terms of the series 12+2.22+32+ 2.42+52+2.62+… is n(n+1)22, when n.... |
2024-06-28 | If 112+122+132+… upto ∞=π26, then 112+132+152 +……=.... |