Sequences
Find the common difference:
18, 21, 24, 27, .....
add 3
(6x2 - 2x) + (9x2 + 3x)
15x2 + x
(5a + 4) - (5a +3 )
1
1, 5, 9, 13, 17, ...
Arithmetic (+4)
Write in standard form:
16x2 + 4 - x2
15x2 + 4
Find the common ratio:
1/9, 1/3, 1, 3, 9, ....
multiply 3
(4 + 2n3 ) + (5n3 + 2)
7n3+ 6
(3x4 - 3x) - (3x - 3x4)
6x4 - 6x
Is the following sequence arithmetic or geometric?
19, 57, 171, 513, ...
Geometric (x3)
Write in standard form:
9b3 + 2b - 7b2 + 6b
9b3 - 7b2 + 8b
What is the explicit form for an arithmetic sequence?
an= a1 + (n-1)d
(−x4 + 13x5 + 6x3 ) + (6x3 + 5x5 + 7x4 )
18x5 + 6x4 + 12x3
(8b3 - 6 + 3b4) - (b4 - 7b3 - 3)
2b4 + 15b3 -3
Is the following sequence arithmetic or geometric?
9, 3, 1/3, 1/9, ....
Geometric (divide 3)
Write in standard form:
17f3 - 6f7 + f + 2f3 - f4 + 9
-6f7 -f4 + 19f3 + f + 9
Write the recursive form for a geometric sequence.
an= an-1(r)
(k4 - 3- 3k3) + (-5k4 + 6k3 - 8k5)
-8k5 - 4k4 + 3k3 - 3
(3v5 + 8v3 - 10v2) - (-12v5 + 4v3 + 14v2)
15v5 + 4v3 - 24v2
Is the following sequence arithmetic or geometric?
3, 20, 37, 54, .....
Arithmetic (+17)
9x4 + 3x - 5x - 16x3 + 9x2 - x4
8x4 - 16x3 + 9x2 - 2x
Is this sequence arithmetic or geometric?
2/5 ,2, 10, 50, ...
What is the common ratio/difference?
Geometric, 5
(y3 - 7x4y4) + (-10x4y3 + 6y3 + 4x4y4) - (x4y3 + 6x4y4)
-9x4y4 - 11x4y3 + 7y3
(4x2 + 7x3y2) - (-6x2 - 7x3y2 - 4x) - (10x + 9x2)
14x3y2 + x2 - 6x
Is the following sequence arithmetic or geometric?
-2, 10, -50, 250,....
Geometric (x-5)
9y2 + 7y3 - y - 2y5 + 6y - 3y2 + y4 + 8y3
-2y5 + y4 + 15y3 + 6y2 +6y