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If a1,a2,a3 are in AP, a2,a3,A4 are in GP, a3, a4,a5 are in GP then a1, a3, a5 are in -? (a) AP (b) GP (c) HP (d) none of these

If a1,a2,a3 are in AP,  a2,a3,A4 are in GP,  a3, a4,a5 are in GP then a1, a3, a5 are in -?
 
(a) AP
(b) GP
(c) HP
(d) none of these

Grade:11

4 Answers

Arun
25750 Points
5 years ago
Dear student
 
You have typed two times G.P.
Please check and repost this.
You can also attach an image. i will be happy to help you.
 
Regards
Arun
Aditya Gupta
2081 Points
5 years ago
consider the following example:
a1=0, a2=1, a3=2, a4=4, a5=8
so obviously a1, a3, a5 are in neither of AP, GP or HP
Mohit Singh
29 Points
4 years ago
a, a+d, a+2d in AP
a+d, a+2d, (a+d)(a+2d/a+d)^2 in GP
a+2d, (a+d)(a+2d/a+d)^2 in HP
let a=2, d=3
2,5,8
5,8,64/5
8, 64/5, 32
2, 8 , 23 in GP (Answer)
Mohit Singh
29 Points
4 years ago
 
a, a+d, a+2d in AP
a+d, a+2d, (a+d)(a+2d/a+d)^2 in GP
a+2d, (a+d)(a+2d/a+d)^2 in HP
let a=2, d=3
2,5,8
5,8,64/5
8, 64/5, 32
2, 8 ,32 in GP (Answer)
(Ignore Previous)

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