Counting Principles

Match the following items. 1. numbers arranged in specific order 2. a sum of numbers in a specific order 3. a series whose terms are formed by addition 4. a series whose terms are formed by multiplication 5. a symbol for a sum 6. a set of elements in a specific order 7. symbol is ! 8. 1 9. a set of elements that does not consider order 10. an array of numbers 11. a study of likelihoods

9 8 7 1 11 3 6 10 4 2 5

Identify the following series as geometric or arithmetic. Also identify the series as infinite or finite. 5, 10, 20, 40, 80, 160, 320

geometric finite

Identify the following series as geometric or arithmetic. Also identify the series as infinite or finite. 1/5+1/10+1/20+1/40+...

geometric infinite

Write the nth term of the following sequence in terms of the first term of the sequence. 1, 8, 15, 22, . . .

1+7(n-1)

Write the nth term of the following sequence in terms of the first term of the sequence. 10, 20, 40, . . .

10(2)^n-1

Write the nth term of the following sequence in terms of the first term of the sequence. 2, -4, 8, -16, . . .

2(-2)^n-1

Write the nth term of the following sequence in terms of the first term of the sequence. a, a + 4, a + 8, . . .

a+4(n-1)

A sequence is always infinite.

False

Identify the following series as geometric or arithmetic. Also identify the series as infinite or finite. -1 + 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8

arithmetic finite

Identify the following series as geometric or arithmetic. Also identify the series as infinite or finite. -5, -10, -15, -20,

arithmetic finite

Identify the following series as geometric or arithmetic. Also identify the series as infinite or finite. 1.05 + 1.10 + 1.15 + 1.20 + . . .

arithmetic infinite