. Set an = n(n + 1), n = 1, 2, 3, ···, and form the sequence
S1 = a1
S2 = a1 + a2
...
Mathematics, 28.03.2020 05:04 deadman7628
. Set an = n(n + 1), n = 1, 2, 3, ···, and form the sequence
S1 = a1
S2 = a1 + a2
S3 = a1 + a2 + a3
.
.
.
Sn = a1 + a2 + a3 + ··· + an
.
.
.
Find a formula for Sn that does not involve adding up the
terms a1, a2, a3, ···. HINT: Use partial fractions to write
1/[k(k + 1)] as the sum of two fractions.
Answers: 2
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