TMUA 2016 Paper 2 Q12 — Worked Solution

P2·Sequences & Series, Inequalities·6.5Official · 2016 · Q12

arithmetic-progressionsum-of-APdeducibility-of-signs

The first term of an arithmetic sequence is

a

and the common difference is

d

. The sum of the first

n

terms is denoted by

S_{n}

. If

S_{8} > 3 S_{6}

, what can be deduced about the sign of

a

and the sign of

d

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