11.2 Arithmetic Sequences.

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Presentation transcript:

11.2 Arithmetic Sequences

Constant difference or sum between each term Arithmetic sequences – when you start with a number a and add to it a fixed constant d, over and over again. an = a1 + (n – 1)d Constant difference or sum between each term

Write the formula for: 9, 4, -1, -6, …

Find the 300th term for 13, 7, … Find the 200th term for 14, 8, …

68 is a term in an arithmetic sequence 68 is a term in an arithmetic sequence. If a1 = 5, d = 3, which term is it???

The 11th term is 52, the 19th term is 92, find the 1000th term.

Partial Sums – sum of a certain number of terms

Find S40 for the series 3, 7, 11, … Find the sum of the first 50 odd numbers.

An amphitheater has 40 rows of seats with 30 seats in the first row, 32 seats in the second, 34 in the third, and so on. Find the total number of seats.

How many terms of the sequence 5, 7, 9, … must be added to get 572?

If Sn = 26,361 in 2 + 9 + 16 + …, find n if d = 7

Arithmetic Means – the average of the two numbers Find the missing term: 50, _____, 92 Insert 4 arithmetic means between 37 and 51.

pg 837 #2-32 even, 33-50 all, 55, 56, 58, 59, 61