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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

P.O.D.

Find the 1st 4 terms of the sequence:

tn = ½(n – 7)

*Plug in n = 1 through 4

sequence

Sequence

An ordered list of numbers

arithmetic sequence

Arithmetic Sequence

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

formula for arithmetic sequence

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

slide7

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)

slide9

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

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