Find the sum of first 24 terms of on AP `t_(1),t_(2),t_(3),"....",` if it is known that `t_(1) + t_(5) + t_(10) + t_(15) + t_(20) + t_(24)=225.`

Determine the sum of first 35 terms of an A.P. if t_(2) , = 1 and t_(7) , = -22.

Find the sum of first 10 terms an A.P. if T_1 = - 14 and T_5 = 20.

If the sequence t_(1), t_(2), t_(3), … are in A.P. then the sequence t_(6), t_(12), t_(18),… is

Find the first five terms of the sequence for which t_(1)=1,t_(2)=2 and t_(n+2)=t_(n)+t+(n+1)

Find d for an A.P. if (i) t_(10) =20, t_(9) = 18 (ii) t_(n) = 7, t_(n-1) = 10

Let s_(1), s_(2), s_(3).... and t_(1), t_(2), t_(3) .... are two arithmetic sequences such that s_(1) = t_(1) != 0, s_(2) = 2t_(2) and sum_(i=1)^(10) s_(i) = sum_(i=1)^(15) t_(i) . Then the value of (s_(2) -s_(1))/(t_(2) - t_(1)) is

Let s_(1), s_(2), s_(3).... and t_(1), t_(2), t_(3) .... are two arithmetic sequences such that s_(1) = t_(1) != 0, s_(2) = 2t_(2) and sum_(i=1)^(10) s_(i) = sum_(i=1)^(15) t_(i) . Then the value of (s_(2) -s_(1))/(t_(2) - t_(1)) is

In a harmonic progression t_(1), t_(2), t_(3),……………., it is given that t_(5)=20 and t_(6)=50 . If S_(n) denotes the sum of first n terms of this, then the value of n for which S_(n) is maximum is

In a harmonic progression t_(1), t_(2), t_(3),……………., it is given that t_(5)=20 and t_(6)=50 . If S_(n) denotes the sum of first n terms of this, then the value of n for which S_(n) is maximum is