csat-suneung 2015 Q24

csat-suneung · South-Korea · csat__math-A 3 marks Geometric Sequences and Series Sum of an Infinite Geometric Series (Direct Computation)

For two sequences $\left\{ a _ { n } \right\}$ and $\left\{ b _ { n } \right\}$, $$\sum _ { n = 1 } ^ { \infty } a _ { n } = 4 , \quad \sum _ { n = 1 } ^ { \infty } b _ { n } = 10$$ find the value of $\sum _ { n = 1 } ^ { \infty } \left( a _ { n } + 5 b _ { n } \right)$. [3 points]

For two sequences $\left\{ a _ { n } \right\}$ and $\left\{ b _ { n } \right\}$,
$$\sum _ { n = 1 } ^ { \infty } a _ { n } = 4 , \quad \sum _ { n = 1 } ^ { \infty } b _ { n } = 10$$
find the value of $\sum _ { n = 1 } ^ { \infty } \left( a _ { n } + 5 b _ { n } \right)$. [3 points]

Paper Questions

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