Aim: What is the arithmetic series ?

1
Aim What is the arithmetic series ?
Do Now Find the sum of each of the following
sequences a) 1 3 5 7 9 11 13
15 17 19 b) 1 2 3 4 5 6 7 8
. . . 98 99 100
HW p. 264 4,5,7 p.265 12,14,16,20,22
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The sum of an arithmetic sequence is called
arithmetic series
Although we can find the arithmetic series one
after the other, there is a formula to find the
series faster.
3
Find the sum of the first 150 terms of the
arithmetic sequence 5, 16, 27, 38, 49, . . .
First we need to determine what the last term of
the 150 terms (or the 150th term) is.
a1 5 d 16 5 11.
a150 a1 d(150 1), a150 5 11(149)
1644
4
Write the sum of the first 15 terms of the
arithmetic series 1 4 7 in sigma
notation and then find the sum
First of all, we need to find the recursive
formula
a1 1 and d 3
To find the sum, we need to find a15
5
 
We first need to find the 1st and 35th term
 
 
 
 
 
6
Find the value of the following summation
 
 
 
(48 15) 1 34
There are 33 terms between 15th and 47th term
 
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