jimmiejaz wrote:A sequence is defined as follows:
An= n/n+1
How many of the first 100 terms of this sequence are less than 0.891?
7
8
9
10
12
Let's jot down the first few terms to understand the sequence.
if n=1, we get 1/2
if n=2, we get 2/3
if n=3, we get 3/4.
So we need to find the first fraction in the sequence that's greater than .891.
Let's start with choice (a).
7/8 = .875... still under
8/9 = .888.. not there yet!
9/10 = .9. Yay, we're past our mark. Since our fractions are getting larger and larger, we now know that only the first 8 terms are less than .891. Choose (B).
).
