- #1

- 117

- 3

_{n}} such that a

_{1}+ a

_{2}+a

_{3}+...=-1 and a

_{1}+3 a

_{2}+5 a

_{3}+...+(2n-1)a

_{n}+...=0.

Also there have to be an infinite number of non-zero a

_{n}s.

I'm not sure how to begin this. Can it be done?

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- Thread starter dimitri151
- Start date

- #1

- 117

- 3

Also there have to be an infinite number of non-zero a

I'm not sure how to begin this. Can it be done?

- #2

I like Serena

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_{n}} such that a_{1}+ a_{2}+a_{3}+...=-1 and a_{1}+3 a_{2}+5 a_{3}+...+(2n-1)a_{n}+...=0.

Also there have to be an infinite number of non-zero a_{n}s.

I'm not sure how to begin this. Can it be done?

Suppose you subtract the first series from the second.

See any pattern?

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