[quote="manishuol"]An infinite sequence of positive integers is called a "beta Sequence" if the number of odd integers in the sequence is finite. If S is an infinite sequence of positive integers, is S a beta sequence?
to become a beta sequence number of odd integers in the sequence must be finite
(1) The first ten integers in S are even.
We dont know the number rest all number are odd or even....so not sufficient.
(2) The difference between each successive pair of terms in S is a constant
difference is constant ..it means this series is an AP.....but as we dont know the numbers...it can be AP Of oDD OR EVEN...so not sufficeint.
combining....we know this is an AP and plus we also know that first 10 terms are even ..it means rest all terms are also even...so we don have odd numbers....so means it is finite...
hope it helps.
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