Meaning / Rules
What notation do we use for the first term?
Notation for common difference?
a1 / d
Is -7, -12, -17, -22, ... an arithmetic sequence? Explain.
Yes. Common difference is -5.
5, 8, 11, 14, 17
3
Find a(8) given a(1)=9 and d=2
a(8) = 23
Identify the d (common difference) in the arithmetic sequence formula:
a(n)=7(n-1) - 4
d = 7
What notation do we use for the 10th term
a10
Is 2,6,10,16,22,26 an arithmetic sequence? Explain.
No. No common difference.
-8, -3, 2, 7, 12
5
Find a(3) given a(1)= -40 and d = 55
a(3) = 70
Identify the a(1) in the arithmetic sequence formula: a(n)=4(n-1) - 5
a(1) = -5
Create the explicit rule for the sequence:
-3, 1, 5, 9, ...
a(n)= -3 + 4(n-1)
Is 4.25, 4.55, 4.85, 5.15, 5.45 an arithmetic sequence? Explain.
Yes. Common difference is 0.35.
200, 140, 80, 20, -40, -100
-60
find the 8th term of the sequence :
a(n) = 10(n-1) - 8
a(8) = 62
Find the next 3 terms : 7, 3, -1, -5
-9, -13, -17
Create the recursive rule for the sequence :
-5, -8, -11, -14, ...
a(1) = -5
a(n) = -3 + a(n-1)
Is 4,8,16,32,64 an arithmetic sequence? Explain.
No. No common difference.
3/2, 7/4, 2, 9/4, 5/2, 11/4
1/4
Find the 12th term of the sequence :
a(n) = -3n - 4
a(12) = -40
Find the 5th term of a sequence with a(1)= -70 and d=-5
What is a(n)= -70 - 5(n-1)
a(5) = -90
Find the first 4 terms of this sequence :
a(n) = -17n + 12
a(1), a(2), a(3), a(4)
-5, -22, -39, -56
Is 3/4, 1, 5/4, 3/2, 7/4, 2 an arithmetic sequence? Explain.
Yes. Common difference is 1/4.
4.5, 3.75, 3, 2.25, 1.5
-0.75
Find the first 4 terms : a(1), a(2), a(3), a(4)
a(n) = -12n + 25
13, 1, -11, -23
Find a(20) given the formula: a(n)= -20 - 4(n-1)
a(20) = -96