Consider a sequence with and for all , terms of the sequence being distinct. Given that and are positive integers and then the possible values(s) of can be

a)

162

b)

64

c)

32

d)

2

Question ID - 50506 :-

Consider a sequence with and for all , terms of the sequence being distinct. Given that and are positive integers and then the possible values(s) of can be

a)

162

b)

64

c)

32

d)

2

1 Answer

5876 Votes

3537

Answer Key : (a,c) -

(a,c)

Given

in G.P.

Let then for we have

i.e. with common ratio

given

Also and are integers

must be even then only will be an integer

Hence possible values of is 4 and 6. ( as terms are distinct)

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