Sequences
Summation Notation
Arithmetic Sequences
Geometric Sequences
Series
100

an = 3n + 4

What is 7, 10, 13, and 16 ?
100

12+22+33+ ••• +152

What is Card 1 ?
100

a1 = 200, d = 20

What is 200, 220, 240, 260, 280, and 300 ?
100

a1 = 5 , r = 3

What is 5, 15, 45, 135, and 405 ?
100
Find the sum of the infinite geometric series: 3/8 - 3/16 + 3/32 - 3/64 + ••• .
What is 1/4 ?
200

an = (-1)n / 3n - 1

What is -1/2, 1/8, -1/26, and 1/80 ?
200
1 + 2 + 3 + ••• + 30
What is Card 2 ?
200

a1 = 5/2 , d = -1/2

What is 5/2, 2, 3/2, 1, 1/2, and 0 ?
200

an = -5an-1 , a1 = -6

What is -6, 30, -150, 750, and -3750 ?
200
1 + 1/3 + 1/9 + 1/27 + ••• .
What is 3/2 ?
300

a1 = 7 and an = an-1 + 5 for n ≥ 2

What is 7, 12, 17, and 22 ?
300

4 + 42/2 + 43/3 + ••• + 4/nn

What is Card 3 ?
300

an = an-1 - 0.4, a1 = 1.6

What is 1.6, 1.2, 0.8, 0.4, 0, and -0.4 ?
300

Find a12 when a1 = 5, r = -2

What is a12 = -10,240 ?

300

3 + 3/4 + 3/42 + 3/43 + ••• .

What is 4 ?
400

an = n2 / n!

What is 1, 2, 3/2, and 2/3 ?
400

1 + 3 + 5 + ••• + (2n-1)

What is Card 4 ?
400

Find a60 when a1 = 35, d = -3

What is -142 ?
400

Find a8 when a1 = 1,000,000 , r = 0.1

What is a8 = 0.1 ?

400
1 - 1/2 + 1/4 - 1/8 + ••• .
What is 2/3 ?
500

an= 2(n+1)!

What is 4, 12, 48, and 240 ?
500
5 + 7 + + 9 + 11 + ••• + 31
What is Card 5 ?
500
7, 3, -1, -5, ...

What is an = 11-4n; a20 = -160 ?

500

Find the formula for the general term of 3, 12, 48, 192,... , then use the formula for an to find a7, the seventh term of the sequence.

What is an = 3(4)n-1 ; a7 = 12,288 ?

500
See Card 6.
What is 80/13 ?  (6.15385)
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