Page 89 - NUMINO Challenge_C1

10 Sequence Types

Basic Concepts Finding Patterns in Sequences

In this sequence, each term is obtained by adding a certain number to

the previous term:

1, 4, 7, 10, 13, 16, 19, 22, n The nth term 1 3 3 3

33 3 3 3 3 3 (n 1) 3’s

In this sequence, each term is obtained by multiplying the previous term

by a certain number: The nth term 1 2 2 2
1, 2, 4, 8, 16, 32, 64, 128, n

22 2 2 2 2 2 (n 1) 2’s

In this sequence, each term is obtained by adding a number of a certain

pattern to the previous term: The nth term 1 1 2 3 (n 1)
1, 2, 4, 7, 11, 16, 22, 29, n

12 3 4 5 6 7

Example This sequence follows a certain pattern. What will the 31st term be?

1, 5, 9, 13, 17, 21, 25, 29,

Class Notes

In this sequence, you need to add to each term to find the next term.

1st term: 1 14 17
2nd term: 1 4 5
3rd term: 1 4 4 1 (4 2) 9
4th term: 1 4 4 4 1 (4 3) 13
5th term: 1

31st term: 1 4 4 4 1 (4 )

terms

Try It Again Find the 12th term of this sequence.
2, 4, 8, 14, 22, 32, 44,

86 NUMINO Challenge C1