Patterns and Sequences in Mathematics

These flashcards cover key concepts related to patterns and sequences in mathematics, focusing on recursive and explicit formulas, as well as examples of growing patterns.

The recursive formula for the pattern is __.

Sn = Sn-1 + 6

In the 100th image, the pattern shows __ number of squares.

300

The explicit formula for the nth term in the quadratic pattern is __.

n² + n

The 5th term of the dot pattern consists of __ dots.

10

The growth of the dot pattern occurs by __ at each step.

adding 4

The number of squares in the 6th image is __.

20

To find the number of dots in the 100th image, you would calculate __.

100 x 100 = 10,000

The arithmetic constant used in the second example is __.

3

For the recursive formula, if S1 = __, then S2 = S1 + 6 for the quadratic pattern.

3

The growth in the pattern can be described as __.

a series of additions

The dot pattern shows an increase of __ at each minute.

2 dots

The formula for the number of dots in the nth term is __.

n² + n

For the 3rd minute in the dot pattern, you would expect __ dots.

13

The nth term in the sequence can be predicted using __ formulas.

recursive or explicit

The total number of squares in the 7th image is __.

30