Question

Write an expression for the nth term.

Answer 1

\[\sum_{n=1}^{\infty} An=1/3 + 1/4 +1/5 +1/6 + ...\]

Answer 2

It is an infinite series, so it will either converge (go to one number), or diverge (go to +/- infinity) Lets see:

Answer 3

Since it each term is getting progressively smaller, it should end up at one number

Answer 4

Similarity to 1.5+0.05+0.005+0.0005 = 1.555....5 if that makes sense

Answer 5

In this case, the sequence is:

\[\sum_{1}^{\infty}\frac{ 1 }{ n+2 }\]

Answer 6

Find the sum of the first 5 or so numbers, and compare it to the sum of the first 6 terms...it should be the same

Answer 7

thnx for the help!!!