SAMPLE QUESTIONS
1. Let a
_{1}, a
_{2}, …. And b
_{1}, b
_{2}, ….. Be the arthematic progressions such that a
_{1} = 25, b
_{1}= 75 and a
_{100}+b
_{100} = 100.Find the sum of the first one hundred terms of the progressions (a
_{1}+b
_{1}) , (a
_{2}+b
_{2}), ........
a) 0
b) 100
c) 10,000
d) 5,05,000
2. If a
_{1}, a
_{2}, a
_{3}, …………………… is a sequence of positive numbers such that a
_{n+2} = a
_{n} . A
_{n+1} for all positives integers `n`, then the sequence a
_{1}, a
_{2}, a
_{3}, ……………... , is a geometeric progression
a) for all positive values of a
_{1} and a
_{2}
b) if and only if a
_{1}=a
_{2} =1
c) if and only if a
_{1}=a
_{2}d) if and only if a
_{1}=1