Related InterviewSolutions

• Let the sum of the first n terms of a non-constant A.P., `a_(1), a_(2), a_(3),... " be " 50n + (n (n -7))/(2)A`, where A is a constant. If d is the common difference of this A.P., then the ordered pair `(d, a_(50))` is equal toA. `(A, 50 + 46 A)`B. `(A,50 + 45A)`C. `(50, 50 + 46 A)`D. `(50 , 50 + 45 A)`
• For any three positive real numbers a, b and c, `9(25a^2+b^2)+25(c^2-3ac)=15b(3a+c)` Then: (1) b, c and a are in G.P. (2) b, c and a are in A.P. (3) a, b and c are in A.P (4) a, b and c are in G.PA. a, b and c are in G.P.B. b,c and a are in G.PC. b, c and a are in A.PD. a, b and c are in A.P.
• Let a,b and c be in G.P. with common ratio r, where `a != 0 and 0 lt r le (1)/(2)`. If 3a, 7b and 15c are the first three terms of an A.P., then the `4^(th)` term of this A.P. isA. `(7)/(3)a`B. aC. `(2)/(3)a`D. `5a`
• Let `a_1,a_2,a_3,...`be in harmonic progression with `a_1=5a n da_(20)=25.`The least positive integer `n`for which `a_n
• `"If "x=a+(a)/(r)+(a)/(r^(2))+...oo,y=b-(b)/(r)+(b)/(r^(2))-...oo,"and "z=c+(c)/(r^(2))+(c)/(r^(4))+...oo," then prove that "(xy)/(z)=(ab)/(c).`A. `(ab)/(c)`B. `(ac)/(b)`C. `(bc)/(a)`D. None of these
• The value of `1^(2) + 3^(2) + 5^(2) + ..... + 25^(2)` isA. 1728B. 1456C. 2925D. 1469
• `2 + 4 + 7 + 11 + 16 +`.... to `n` term =A. `(1)/(6) (n^(2) + 3n + 8)`B. `(n)/(6) (n^(2) + 3n + 8)`C. `(1)/(6) (n^(2) - 3n + 8)`D. `(n)/(6) (n^(2) - 3n + 8)`
• In a GP, first term is 1. If `4T_(2) + 5T_(3)` is minimum, then its common ratio isA. `(2)/(5)`B. `-(2)/(5)`C. `(3)/(5)`D. `-(3)/(5)`
• If the 2nd , 5th and 9thterms of anon-constant A.P. are in G.P., then thecommon ratio of this G.P. is :(1) `8/5`(2)`4/3`(3)1 (4) `7/4`A. `(7)/(4)`B. `(8)/(5)`C. `(4)/(3)`D. 1
• The sum of the series : `(2)^(2) + 2(4)^(2) + 3(6)^(2)+`.... Upon 10 terms isA. 11300B. 12100C. 12300D. 11200