Arithmetic Series Lesson

Fill in the Blanks

How many dots are there in a dice?

Multiple Choice

The dots in a dice form a/an _________ sequence.

• arithmetic

• geometric

​Arithmetic Sequence: 1, 2, 3, 4, 5, 6

Arithmetic SERIES: 1+2+3+4+5+6

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Find the sum of this arithmetic series.

1+2+3+4+5+6+7+8+9+10+11+12 =

​Can you find the the sum of this series in just 1 minute?

1+2+3+4+5+…+100

​S_n = sum of n terms

n = number of terms

a₁ = first term

d = common difference

Ex. 1. Find the sum of the series.

6+11+16+21+26+31+36

Ex. 2. Find the sum of the first 20 terms of the sequence:

7, 9, 11, 13, …

​Your turn…

Fill in the Blanks

Find the sum of this sequence:

6, 11, 16, 21, 26, 31, 36

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Find the sum of an arithmetic sequence with 13 terms,

the first term is 2 and the last term is 122.

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Find the sum of the series:

20+30+40+50…, n=15

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Find the sum of the first 63 terms of the arithmetic sequence:

-19, -13, -7, …

​Homework: Submit on Thursday!