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Consider the infinite series a.) Find the partial sums s 1 , s 2 , s 3 , s 4 and

ID: 2830069 • Letter: C

Question

Consider the infinite series

a.) Find the partial sums s1, s2, s3, s4and s5. Remember, a partial sum

b.) From your answers in part a.) you should see a pattern emerging for the partial sums. Use that to find a general formula for sn, the nth partial sum.

c.) Assume that your answer in part b.) is correct, namely that sn does equal the formula you found. Using that formula what does sn+1 equal?

d.) For this infinite series it is also the case that

Show that this is equal to your answer in part c.).

If you do parts c.) and d.) correctly that

Explanation / Answer

There is no series.