Find the respective terms for the following APs. `a_1=2,a_3=26`, find `a_2`

Find the sum of first 24 terms of the A.P. a_1, a_2, a_3, , if it is know that a_1+a_5+a_(10)+a_(15)+a_(20)+a_(24)=225.

Find the sum of first 24 terms of the A.P. a_1, a_2, a_3, , if it is know that a_1+a_5+a_(10)+a_(15)+a_(20)+a_(24)=225.

Find the sum of first 24 terms of the A.P. a_1,a_2, a_3 ......., if it is inown that a_1+a_5+a_(10)+a_(15)+a_(20)+a_(24)=225.

Find the sum of first 24 terms of the A.P. a_1,a_2, a_3 ......., if it is inown that a_1+a_5+a_(10)+a_(15)+a_(20)+a_(24)=225.

Find the terms indicated in the following case : a_n =(n-1)(2-n) (3+n), a_1, a_2, a_3 .

If the coefficients of four consecutive terms in the expansion of (1+x)^n are a_1,a_2,a_3 and a_4 respectively. then prove that a_1/(a_1+a_2)+a_3/(a_3+a_4)=2a_2/(a_2+a_3).

Find the sum first 24 terms of A.P. a_1,a_2,a_3 ,..........., if it is know that a_1+a_5+a_10+a_15+a_20+a_24=225

Delta=|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}|and Delta'|{:(A_1,B_1,C_1),(A_2,B_2,C_2),(A_3,B_3,C_3):}| where A_1,B_1,C_1,A_2,B_2,……… are respectively the cofactors of the elements a_1,b_1,c_1,a_2,b_2,….. of the determinant then Delta'=........

If the coefficient of-four successive termsin the expansion of (1+x)^n be a_1 , a_2 , a_3 and a_4 respectivel. Show that a_1/(a_1+a_2)+a_3/(a_3+a_4)=2 a_2/(a_2+a_3)

For an increasing A.P. a_1, a_2,..... a_n ifa_1+a_3+a_5=-12 and a_1a_3a_5=80 , then which of the following is/are true? a. a_1=-10 b. a_2=-1 c. a_3=-4 d. a_5=+2