Sequences & Series (Foundations)

Sequences & Series: core idea

• 1. Common difference of $7,10,13$?

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• 2. Geometric $3,6,12$: next?

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• 3. Common ratio of $2,6,18$?

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• 4. Sum $1+\cdots+10$?

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• 5. $a_n=2n+1$: $a_1$?

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• 6. Arithmetic $a_1=4$, $d=3$: $a_5$?

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• 7. Geometric $a_1=2$, $r=3$: $a_4$?

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• 8. Partial sum $S_3$ of $1,2,3$?

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• 9. Is $1,1,1,\ldots$ bounded? $1$ yes $0$ no.

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