Grade 11Algebra
If a, b, c are in GP then loga10 ,logb10 and logb10 are in a) AP b) GP c) HP d) none
If a, b, c are in GP then loga10 ,logb10 and logb10 are in
a) AP b) GP c) HP d) none
2 Answers
Saurabh Koranglekar
Dear student
Consider a,b,c as 10,100,1000
Take 1/loga, 1/log b, 1/log c
It will be 1/1, 1/2,1/3
The answer is HP
Regards
Consider a,b,c as 10,100,1000
Take 1/loga, 1/log b, 1/log c
It will be 1/1, 1/2,1/3
The answer is HP
Regards
Spandan Patil
Hello,
a, b, c are in G.P. so b2=ac.
Now the sequence whose type is to be found can be written as 1/log(a), 1/log(b), 1/log(c). We know that log(a), log(b), log(c) are in A.P as b2=ac (loga +logc = logac) Therefore sequence is in H.P. as the inverses of all elements were in A.P.
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