Related InterviewSolutions

• We know that the sum of the interior angles of a triangle is`180^0`. Show that the sums of eth interior angles of polygons with `3,4,5,6,`sides for an arithmetic progression. Find the sum of the interior angles ofor a 21 sided polygon.
• Any term of an AP (except first ) is equal to half the sum of terms which are equidistant from it .
• If the sum of p terms of an AP is q and the sum of q terms is p, then show that the sum of `p+q` terms is `- (p+q)` , Also find the sum of first `p-q` terms (where , `pgtq`).
• If the `p t h , q t h a n d r t h`terms of `a`G.P. are `a , b , c`respectively, prove that: `a^((q-r))dot^( )b^((r-p))dotc^((p-q))=1.`
• The sum of first n terms of an AP is given by `S_n=2n^2 + 3n`. Find the comman difference of the AP.A. 3B. 2C. 6D. 4
• If `1/a ,1/b ,1/c`are in A.P. then `(b+c)/a ,(c+a)/b ,(a+b)/c`are in :A. A.P.B. G.P.C. miscellaneousD. None of these
• If a, b, c are in A.P. as well as in G.P. then correct statement is :A. `a=b=c`B. `anebnec`C. `a=bnec`D. None of these
• If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?A. `1:3:5`B. `1:2:3`C. `1:4:7`D. None of these
• If `x=1+a+a^(2)+...oo, a lt 1` and `y=1+b+b^(2)+...oo, b lt 1,` then `1+ab+a^(2)b^(2)+...oo :`A. `(x+y+xy)/(x+y-1)`B. `(x+y)/(x+y-1)`C. `(xy)/(x+y-1)`D. None of these
• let `S_(n)` denote the sum of the cubes of the first n natural numbers and `s_(n)` denote the sum of the first n natural numbers , then `sum_(r=1)^(n)(S_(r))/(s_(r))` equals toA. `(n(n+1)(n+2))/(6)`B. `(n(n+1))/(2)`C. `(n^(2)+3n+2)/(2)`D. None of these