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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 | SaraNextGen Top Answer

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
127 votes
Answer Key / Explanation : (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)

Hence possible value of  is

127 votes


127