Unit 15 Mastery Check

State the domain of $a_n=2n+1$ for $n=0,1,2,$...

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State the domain of $a_n=2n+1$ for $n=0,1,2,$...

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State the defining idea behind sequences as discrete functions in one precise sentence.

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For sequences as discrete functions, what condition or domain restriction must remain visible in the solution?

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Why is $a_{n}=2a_{n-1}$ incomplete as a sequence definition?

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Why is $a_{n}=2a_{n-1}$ incomplete as a sequence definition?

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State the defining idea behind explicit and recursive descriptions in one precise sentence.

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For explicit and recursive descriptions, what condition or domain restriction must remain visible in the solution?

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Find the $50th$ term of $7,12,17,$...

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Find the $50th$ term of $7,12,17,$...

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State the defining idea behind arithmetic sequences in one precise sentence.

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For arithmetic sequences, what condition or domain restriction must remain visible in the solution?

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Find $a_8$ for $5,-10,20,$...

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Find $a_8$ for $5,-10,20,$...

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State the defining idea behind geometric sequences in one precise sentence.

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For geometric sequences, what condition or domain restriction must remain visible in the solution?

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Find the fixed point of$$x_{n+1}=0.75x_n+12$$

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Find the fixed point of$$x_{n+1}=0.75x_n+12$$

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State the defining idea behind recurrence, iteration, and discrete dynamical models in one precise sentence.

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For recurrence, iteration, and discrete dynamical models, what condition or domain restriction must remain visible in the solution?

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How many terms are in sum $k=4$ to $19$?

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How many terms are in sum $k=4$ to $19$?

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State the defining idea behind sigma notation and finite sums in one precise sentence.

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For sigma notation and finite sums, what condition or domain restriction must remain visible in the solution?

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Find$$1+2+...+100$$

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Find$$1+2+...+100$$

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State the defining idea behind arithmetic series in one precise sentence.

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For arithmetic series, what condition or domain restriction must remain visible in the solution?

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Find$$3+6+12+...+3\cdot 2^9$$

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Find$$3+6+12+...+3\cdot 2^9$$

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State the defining idea behind finite geometric series in one precise sentence.

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For finite geometric series, what condition or domain restriction must remain visible in the solution?

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Evaluate$$5-2.5+1.25-$$

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Evaluate$$5-2.5+1.25-$$

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State the defining idea behind infinite geometric series and convergence in one precise sentence.

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For infinite geometric series and convergence, what condition or domain restriction must remain visible in the solution?

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