Q Fourth term of (a+b)n is

What is the Fourth term of an AP of n terms whose sum is n (n+1) ?

If T_(54) is an fifty fourth term of an Arithmetic Progression is 61 and T_(4) is fourth term of an same Arithmetic progression is 64, then T_(10) of that series will be : ( T_(n)=n^("th ") term of an A.P.)

If T_(54) is an fifty fourth term of an Arithmetic Progression is -61 and T_(4) is fourth term of an same Arithmetic progression is 64, then T_(10) of that series will be ( T_(n) = n^("th ") term of an A.P.)

In an A.P. , 3 is the first term. If the second, tenth and thirty fourth terms forms a G.P., then the fourth term of the A.P. is

If the first three terms of a proportion are 3,5 and 21 respectively, then its fourth term is (a)21 (b) 35 (c)15 (d) None of these

In the expansion of (a+b)^(n) , first three terms are 243, 810 and 1080 respectively, then the fourth term of the expansion is (n in N)

If the p^(th) term of an A.P is q and q^(th) term is p, prove that its n^(th) term is (p+q-n)

If the p^(th) term of an A.P.is q and the q^(th) term is p, prove that its n^(th)term is(p+q-n)

If pth term of a G.P. is P and its qt term is Q, prove that the nth term is ((P^(n-q))/(Q^(n-p)))^(1/(p-q))

The p^(th) term of an A.P.is a and q^(th) term is b . Prove that the sum of its (p+q) terms is (p+q)/(2){a+b+(a-b)/(p-q)}