TMUA Specimen Paper 2 Q16 — Worked Solution

P2·Sequences & Series·6.0Specimen · P2 · Q16

recurrencealternating-sequenceperiod-2series-sum

The sequence

a_{n}

is given by the rule:

a_{1} = 2

a_{n + 1} = a_{n} + (- 1)^{n}

for

n \geq 1

. What is

\sum_{n = 1}^{100} a_{n}

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