The numbers 1, 4, 16 can be three terms (not necessarily consecutive) of

Which of the following can be terms (not necessarily consecutive) of any A.P.?

If p,q and r ( pneq ) are terms ( not necessarily consecutive) of an A.P., then prove that there exists a rational number k such that (r-q)/(q-p) =k. hence, prove that the numbers sqrt2,sqrt3 and sqrt5 cannot be the terms of a single A.P. with non-zero common difference.

The number of three-digit numbers having only two consecutive digit identical N , then the value of (N//2)^(1//2) is _______.

Atomic mass of an element is not necessarily a whole number because :

Find three numbers a,b,c between 2 & 18 such that; (G) their sum is 25 (ii) the numbers 2,a,b are consecutive terms of an AP & (ii) the numbers b,c, 18 are consecutive terms of a G.P.

If a, b, c are three consecutive terms of an A.P. and x, y, z are three consecutive terms of a G.P. then prove that x^(b-c)timesy^(c-a)timesz^(a-b)=1

Find four consecutive terms in an A.P. whose sum is 12 and the sum of 3^(rd) and 4^(th) term is 14. (Let four consecutive terms be a -d ,a,a+d, a+2d)

The number of ways in which we can select four numbers from 1 to 30 so as to exclude every selection of four consecutive numbers is a. 27378 b. 27405 c. 27399 d. none of these

Find the total number of n -digit number (n >1) having property that no two consecutive digits are same.

If first three terms of the sequence 1//16 ,a , b , c1//16 are in geometric series and last three terms are in harmonic series, then find the values of aa n dbdot