Math Problem Statement
Find the Nth term of the following 1. 1,5,9 13,… 27th term 2. 20, 15, 10,… 66th term 3. 100, 92, 84, … 48th term 4. 7, 14, 21,… 89th term 5. 1, 1/2, 0,… 16th term
Solution
To find the th term of each sequence, we'll use the formula for the th term of an arithmetic sequence:
Where:
- is the th term,
- is the first term,
- is the common difference between the terms,
- is the position of the term in the sequence.
Let's solve each one.
1. Sequence: 1, 5, 9, 13, …
- First term
- Common difference
- To find the 27th term ():
The 27th term is 105.
2. Sequence: 20, 15, 10
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Math Problem Analysis
Mathematical Concepts
Arithmetic Sequences
Formulas
Nth term formula for arithmetic sequences
Theorems
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Suitable Grade Level
Grades 7-9