MathDB

a_n = a_{n-1} - 1/n+ 1/(n + 1) - 1/(n + 2) (2019 Auckland MO J4)

Source:

November 14, 2021

algebraSequence

Problem Statement

Suppose

a_1 =\frac16

and

a_n = a_{n-1} - \frac{1}{n}+ \frac{2}{n + 1} - \frac{1}{n + 2}

for

n > 1

. Find

a_{100}