Find the common difference for the following sequence:
14, 19, 24, 29, …
Hint
What number are we adding to each term?
Answer
d = 5
List the first six terms of the arithmetic sequence given by whose first term is -5.
To start, plug in your first term for an – 1.
-5, -4.5, -4, -3.5, -3, -2.5
What's the recursive rule for the sequence -4, -7, -10, -13, …?
You'll need {an} = (an – 1) + d.
{an} = (an – 1) – 3
What's the explicit rule for the sequence 21, 43, 65, …?
{an} = a1 + d(n – 1)
{an} = 21 + 22(n – 1)
Given the arithmetic sequence with a1 = 1, find the 31st term.
It's baaaack… {an} = a1 + d(n – 1).
a31 = -23
Given the arithmetic sequence , find the 28th term.
Subtract one term from another to find the common difference.
a28 = 64⁄7
How many total terms are in this sequence?
88, 77, 66, 55,…, -88, -99
Use {an} = a1 + d(n – 1) to plug in what you know and solve for n.
18
Use {an} = a1 + d(n – 1) to plug in what you know and solve for n… again.
14
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whose first term is -5.
with a1 = 1, find the 31st term.
, find the 28th term.