Example 1: Is the sequence 18, 11, 4, -3, … arithmetic? If so, state the recursive formula. What is the 33rd term of the sequence? t 1 = t 2 = t 3 = ... t n = → t 33 = In general, if the first term of a sequence is a and the common difference is d, then the n th term is given by the formula _______________. Example 2: Determine the number of terms in the arithmetic sequence 9, 16, 23, 30, …, 100. Example 3: The 7 th term of an arithmetic sequence is 53 and the 11 th term is 97. Determine a formula for the general term. A sequence is arithmetic if the difference between any consecutive terms is the same. Each arithmetic sequence has a common difference. Arithmetic Sequences
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Example 1:Is the sequence 18, 11, 4, -3, … arithmetic? If so, state the recursive formula.
What is the 33rd term of the sequence?
t1 =
t2 =
t3 =
...
tn = → t33 =
In general, if the first term of a sequence is a and the common difference is d, then the nth term is given by the formula _______________.
Example 2:Determine the number of terms in the arithmetic sequence 9, 16, 23, 30, …, 100.
Example 3:The 7th term of an arithmetic sequence is 53 and the 11th term is 97. Determine a formula for the general term.
A sequence is arithmetic if the difference between any consecutive terms is the same. Each arithmetic sequence has a common difference.
Arithmetic Sequences
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