If `a_1 , a_2 , a_3 . . . and b_1 , b_2 ,b_3 ...` are two A.P. and `a_1=2 , a_(10)=3 and a_1 b_1 =1 = a_10 b_10 ` then find `a_4 b_4`

Let a_1,a_2 ,…. , a_10 be in A.P. and h_1,h_2 …. h_10 be in H.P. If a_1=h_1=2 and a_10 = h_10 =3 , then a_4 h_7 is :

Let a_1,a_2,a_3 ….and b_1 , b_2 , b_3 … be two geometric progressions with a_1= 2 sqrt(3) and b_1= 52/9 sqrt(3) If 3a_99b_99=104 then find the value of a_1 b_1+ a_2 b_2+…+a_nb_n

Let a_1,a_2 , …, a_10 be in AP and h_1,h_2 ,,,, h_10 be in HP. If a_1=h_1=2 and a_10 = h_10 =3 , then a_4h_7 is ____.

If a_1, a_2, a_3 ,........ are in A.P. such that a_1 + a_5 + a_10 + a_15 + a_20 + a_24 = 225 , then a_1 + a_2+ a_3 + ......+ a_23 +a_24 is equal to

Let a_1,a_2,……a_10 be in A.P. and h_1,h_2,….h_10 be in H.P. If a_1=h_1=2 and a_10 = h_10 =3, then a_4 h_7 is (A) 2 (B) 3 (C) 5 (D) 6

Let bi gt 1 for i = 1, 2, ...., 101 . Suppose log_e b_1, log_e b_2, ...., log_e b_101 are in Arithmetic Progression (A.P.) with the common difference log_e 2 . Suppose a_1, a_2, ....., a_101 are in A.P. such that a_1 = b_1 and a_51 = b_51 . If t = b_1 + b_2 + .... + b_51 and s = a_1 + a_2 + .... + a_51 , then .