Let `b_i > 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

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 .

Let b_(1)>1 for i=1,2,......,101. Suppose log_(e)b_(1),log_(e)b_(10) are in Arithmetic progression (A.P.) with the common difference log 2. suppose a_(1),a_(2).........a_(101) are in A.P.such 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

Let b_(i)gt1" for " i =1,2 , ....,101. " Suppose " log_(e)b_(1),log_(e)b_(2),....,log_(e)b_(101) are in arithmetic progression (AP) , with thecommon differnce log_(e)2 .Suppose a_(1),a_(2)…..,a_(101) are in AP such that a_(1)=b_(1)anda_(51)=b_(51)." if " t=b_(1)+b_(2)+....+b_(51)ands=a_(1)+a_(2)+....+a_(51) , then

Let b_(i)gt1" for "i=1,2,"......",101 . Suppose log_(e)b_(1),log_(e)b_(2),log_(e)b_(3),"........"log_(e)b_(101) are in Arithmetic Progression (AP) with the common difference log_(e)2 . Suppose a_(1),a_(2),a_(3),"........"a_(101) are in AP. 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

Let b_(i)gt1" for "i=1,2,"......",101 . Suppose log_(e)b_(1),log_(e)b_(2),log_(e)b_(3),"........"log_(e)b_(101) are in Arithmetic Progression (AP) with the common difference log_(e)2 . Suppose a_(1),a_(2),a_(3),"........"a_(101) are in AP. 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

Let b_(i)gt1" for "i=1,2,"......",101 . Suppose log_(e)b_(1),log_(e)b_(2),log_(e)b_(3),"........"log_(e)b_(101) are in Arithmetic Progression (AP) with the common difference log_(e)2 . Suppose a_(1),a_(2),a_(3),"........"a_(101) are in AP. 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

Let b_(i)gt1" for "i=1,2,"......",101 . Suppose log_(e)b_(1),log_(e)b_(2),log_(e)b_(3),"........"log_(e)b_(101) are in Arithmetic Progression (AP) with the common difference log_(e)2 . Suppose a_(1),a_(2),a_(3),"........"a_(101) are in AP. 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

Let A_1 , A_2 …..,A_3 be n arithmetic means between a and b. Then the common difference of the AP is

If a. b, c are in G.P. and log_ca , log_b c , log_a b are in AP show that the common difference of the AP is 1(1/2)

Suppose four distinct positive numbers a_1, a_2, a_3, a_4, are in G.P. Let b_1=a_1,b_2=b_1+a_2.b_3=b_2+a_3 and b_4=b_3+a_1.