Sequences
What is the common ratio?
32, 16, 8, 4...
1/2
Which property regroups with addition and/or multiplication without changing the order?
associative
23 + 12(2) - 10
22
translate into algebra:
a number divided by 10
n/10
(2)(3)(x)(x)(x)
6x3
What's the difference between a common difference and a common ratio?
Common difference is found in an arithmetic sequence, and common ratio is found in a geometric sequence.
Which property allows you to reorder without changing the answer in multiplication and addition?
Commutative
3[6 + 2(6+1)]
60
Solve:
10 - (-2) + (-4) =
8
4x + 6 + 3x - 5
7x + 1
4, 12, 36, 108...
Fimd the next factor.
108 x 3 = 324
Which property is shown here?
4(5+6) = 4(5) + 4(6)
Distributive
12 x 2 - 6(2) - 2 x 3
6
TRIvIa: This popular video game released in 1980 had characters inspired by a pizza missing a slice
Pac Man
x + 2x - 2y + 10 - 5y -5
3x - 7y + 5
1, 5, 13, 25...
Find the next factor.
multiples of 4 added each time, so:
+4, +8, +12, +16 = 41
Which property is shown here?
6+(2+3) = (6+2)+3
associative
32 - 3[5(2 + 1) - 3(4-2)]
5
a = -1 and b = 4
a - b + 2a
-1 - 4 + 2(-1)
-1 -4 -2 = -7
x2 + 4 + 6x - 2x + 6x2 + 1
7x2 + 4x + 5
1, 8, 27, 64...
What's the next factor?
13, 23, 33, 43, 53 = 125
TRIVIA: The fastest animal in the world
Peregrine Falcon (200mph)
3 + 2(2+1)2 + 2(42)
53
a = 3 and b = -2
Solve: 2a - 2b =
6- (-4) = 10
(10)(a)(b)(b)(4)(a)
40a2b2