- #1
tsamocki
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Homework Statement
Find the general term of the sequence, starting with n=1, determine whether the sequence converges, and if so find its limit.
(a) {(1/2), (3/4), (5/6), (7/8), ...}
(b) {(1-(1/2), ((1/3)-(1/2)), ((1/3)-(1/4)), ((1/5)-(1/4)),...}
Homework Equations
My text only provides a few (basic) examples, but they use a term number/term table.
The Attempt at a Solution
I know that the general term for (a)= {(2n-1)/(2n)}n=1 to infinity, and that it converges at its limit of 1, but i was able to figure it out by playing around with basic arithmetic, then finding the limit. For a more complex sequence such as (b), i really don't know where to begin.
Is there a method for finding the general terms of sequences/infinite series?