Examples Sequences State the "rule" and then write the next three values in the sequence. The "rule" can be in simple language (add 5 each time, double.

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Presentation transcript:

Examples Sequences State the "rule" and then write the next three values in the sequence. The "rule" can be in simple language (add 5 each time, double the number). 1) 8, 12, 16, ) 800, 400, 200,... 3) 50, 47, 44, 41...

Examples Sequences Given these explicit formulas for sequences, find the value of the indicated term. 4) a n = 3n find a 6 5) a n = 2n + 7 find a 8 Given these recursive formulas for sequences and the value of the previous term, find the value of the next term. 7) if a 7 = 25 and a n = a n find a 8 8) if a 4 = 15 and a n = 3 a n-1 find a 5

Examples Sequences Find the common difference in these sequences, then write a formula to model the sequence using the explicit formula method. 9A) 21, 30, 39, 48 … 10A) 100, 90, 80, 70 … Using the same sequences above, write a formula to model the sequence using the recursive formula method. a n = f 1 + d(n-1) a n = a (n-1) + d 9B) 21, 30, 39, 48 … 10B) 100, 90, 80, 70 …

Examples Sequences Find the common ratio in these sequences, then write a formula to model the sequence using the explicit formula method. 11A) 32, 16, 8, 4 … 12A) Using the same sequences above, write a formula to model the sequence using the recursive formula method. 11B) 32, 16, 8, 4 … 12B) a n = f 1 r (n-1) a n = r a (n-1)

Examples Sequences Determine if these sequences are convergent or divergent. If they are convergent, state their limit. If they are divergent, explain why.