Qiuyun TMUA Simulation Test Paper 1 · Question 17

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Qiuyun TMUA Simulation Test Paper 1 · Q17

Paper 1Sequences & seriesNumber & countingAlgebra

The two roots of the quadratic $12x^2-5x-3$ are distinct real numbers. For every non-negative integer $n$ , let $s_n$ be the sum of the $n$ th powers of these two roots.

What is the value of the infinite series

s_0+s_1+s_2+\cdots?

\frac{13}9

\frac{17}9

\frac{19}4

\frac{17}4

\frac{23}4

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