Grade 12th passAlgebra
if abc are in ap then e^(ax+k),e^(bx+k),e^(cx+k) are in a)ap,b)gp,c)hp
if abc are in ap then e^(ax+k),e^(bx+k),e^(cx+k) are in
a)ap,b)gp,c)hp
1 Answer
Arun
If we take ratio like,
e^(bx+ k)/ e^(ax +k) = e^(cx +k)/ e^(bx+ k)
Now we get
e^(b-a)x = e^(c-b)x
When base is same, then power is compared
Hence
b-a = c- b
2b = a+c
This is the given condition.
Hence the terms will be in G.P.(option B)
Other Related Questions on algebra
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
Last Activity: 2 Years ago