Official papers

Official 2016 Paper 2 · Q12

Paper 2Sequences & series

The first term of an arithmetic progression is aa and the common difference is dd. The sum of the first nn terms is SnS_n.

If S8>3S6S_8>3S_6, what can be deduced about the signs of aa and dd?

Aboth aa and dd are negative
Baa is positive and dd is negative
Caa is negative and dd is positive
Daa is negative, but the sign of dd cannot be deduced
Edd is negative, but the sign of aa cannot be deduced
Fneither the sign of aa nor the sign of dd can be deduced

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