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P.O.D.

P.O.D. Find the 1 st 4 terms of the sequence: t n = ½(n – 7 ) *Plug in n = 1 through 4. 11.1 & 11.2 Arithmetic Sequences (Patterns). Sequence. An ordered list of numbers. Arithmetic Sequence. Where the difference between any 2 successive terms is a constant d (“The common difference”).

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P.O.D.

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  1. P.O.D. Find the 1st 4 terms of the sequence: tn = ½(n – 7) *Plug in n = 1 through 4

  2. 11.1 & 11.2Arithmetic Sequences (Patterns)

  3. Sequence An ordered list of numbers

  4. Arithmetic Sequence Where the difference between any 2 successive terms is a constant d (“The common difference”)

  5. Formula for ArithmeticSequence The nth term in an arithmetic sequence is the given formula: tn = t1 + (n – 1)d (*t1 = 1st term in sequence *n = # of term you are trying to find *d = common difference

  6. Ex: Find t11 for the arithmetic sequence 7, 11, 15, 19, …

  7. Steps:1st) Find d “Common Difference” 11 – 7 = 4 is common diff.2nd) Plug in t1, n & dinto the formula & solvet11 = 7 + (11 – 1 )4 = 47*t1= 7 (1st term in sequence)*n = 11 (# of term you are trying to find)*d = 4 (the common difference between terms)

  8. Ex: Find the position of the term in red of the arithmetic seq.5, 8, 11, 14,…53, …

  9. Ex: Find t20 for the arithmetic sequence in which t2 = 13 and t5 = 22*Look at pg. 508 Example 3 in book

  10. Your HW is:Pg. 509 (1-22 all, 31-2)

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