Patterns
Find the next term in the sequence:
5, 10, 15, 20, __
25
Translate into a mathematical expression:
4 more than a number
x + 4
(any letter can be used)
If x=20, find:
x - 12
20 - 12 = 8
Solve the equation:
x + 25 = 40
x + 25-25 = 40-25
x = 15
4f means 4 increased by f.
Are you nuts?
It means 4 times (or multiplied by) f.
Find the next term in the sequence:
5, 10, 20, 40, __
80
Translate into a mathematical expression:
A number decreased by 5
y - 5
(any letter can be used)
If k=3, find:
2k
2 * 3 = 6
Solve the equation:
7x = 56
7x /7= 56 /7
x = 8
To triple a number you write:
3
n
You write: 3n
Find the missing term in the sequence:
1, 6, 11, __, 21, 26
16
Translate into a mathematical expression:
17 times a number
17n
(any letter can be used)
If t=9, find:
t²
9² = 81
Solve the equation:
m - 10 = 11
m - 10 +10 = 11 +10
m = 21
2x + 10 = 16
The x is 2.
That wouldn't work. The x must be 3:
2*3 + 10 = 16
6 + 10 = 16
Find the next term in the sequence:
96, 48, 24, 12, 6, ___
3
Translate into a mathematical expression:
6 less than a number
(any letter can be used)
If z=3, find:
15 - 3z
15 - 3*3 =
15 - 9 =
6
Solve the equation:
g - 15 = 23
g - 15 +15 = 23 +15
g = 38
7, 14, 21, 28, 34, 42
Since when is 34 in the times table of 7?
It should be 35 instead.
Find the next term in the sequence:
1, 1, 2, 3, 5, ___
8
Translate into a mathematical expression:
3 more than twice a number
2b + 3
(any letter can be used)
If a=2 and b=5, find:
10a - 4b
20 - 20 =
0
Solve the equation:
a = 4
7
a *7 = 4 *7
7
a = 28
This is a linear sequence:
4, 8, 16, 32, 64
Hmmm... NO! It's not linear because you don't add the same number to find the next term. Instead, you multiply.