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_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),"...."a_(10) be in AP and h_(1),h_(2),h_(3),"...."h_(10) be in HP. If a_(1)=h_(1)=2 and a_(10)=h_(10)=3 , then find value of a_(4)h_(7) .

Let a_1, a_2, a_3.......... be in A.P. and h_1,h_2,h_3..... ,in H.P. If a_1=2 = h_1, and a_30=25=h_30 then a_7h_24+ a_14 + a_17=

Let a_1,a_2,a_3…., a_49 be in A.P . Such that Sigma_(k=0)^(12) a_(4k+1)=416 and a_9+a_(43)=66 .If a_1^2+a_2^2 +…+ a_(17) = 140 m then m is equal to

If a ,a_1, a_2, a_3, a_(2n),b are in A.P. and a ,g_1,g_2,g_3, ,g_(2n),b . are in G.P. and h s the H.M. of aa n db , then prove that (a_1+a_(2n))/(g_1g_(2n))+(a_2+a_(2n-1))/(g_1g_(2n-1))++(a_n+a_(n+1))/(g_ng_(n+1))=(2n)/h

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is: A. 2.3^9 B. 3^9 C. 2.3^(10) D. 3^(12)

Let {a_n} bc a G.P. such that a_4/a_6=1/4 and a_2+a_5=216 . Then a_1=

If a_1, a_2, a_3,.....a_n are in H.P. and a_1 a_2+a_2 a_3+a_3 a_4+.......a_(n-1) a_n=ka_1 a_n , then k is equal to

The roots of equation x^2+2(a-3)x+9=0 lie between -6 and 1 and 2, h_1, h_2, …, h_20 [a] are in H.P., where [a] denotes the integeral part of a and 2,a_1,a_2,..a_20 [a] are in A.P. then a_3h_18= (A) 6 (B) 12 (C) 3 (D) none of these

a_1,a_2,a_3 ,…., a_n from an A.P. Then the sum sum_(i=1)^10 (a_i a_(i+1)a_(i+2))/(a_i + a_(i+2)) where a_1=1 and a_2=2 is :