Arithmetic sequences are sequences where successive terms all have the same common difference. The counting numbers is an example of an arithmetic sequence (0, 1, 2, 3, 4, 5, ...). Counting by 5's is an example of an arithmetic sequence (5, 10, 15, 20, 25, ...). Counting by...
Example: Solving Application Problems with Arithmetic Series On the Sunday after a minor surgery, a woman is able to walk a half-mile. Each Sunday, she walks an additional quarter-mile. After 8 weeks, what will be the total number of miles she has walked? Show Solution ...
Example: Solving Application Problems with Arithmetic Sequences A five-year old child receives an allowance of $1 each week. His parents promise him an annual increase of $2 per week. Write a formula for the child’s weekly allowance in a given year. What will the child’s allowance be ...
Related to Arithmetic sequence:Geometric sequence,Arithmetic series arithmetic progression n. A sequence, such as the positive odd integers 1, 3, 5, 7, ... , in which each term after the first is formed by adding a constant to the preceding term. ...
In many problems, you are presented with a sequence of numbers, and you have to use the arithmetic sequence formula to write a rule to derive any term in that particular sequence. For example, write a rule for the sequence 7, 12, 17, 22, 27, . . . The common difference (d...
Arithmetic Problems Lesson Summary FAQs Activities What are examples of arithmetic numbers? An arithmetic number is one whose factors when averaged is an integer. For example, 6 is an arithmetic number. The factors of 6 are 1, 2, 3, 6. The average of the factors is (1+2+3+6)/4 ...
Can you find a sequence of consecutive integers that add up to 1000? This puzzle is based on the excellent bookA First Step to Mathematical Olympiad Problems– which is full of problems that could be extended to become exploration ideas. ...
A sequence of number is called arithmetic if it consists of at least three elements and if the difference between any two consecutive elements is the same. For example, these are arithmetic sequence: 1, 3, 5, 7, 9 7, 7, 7, 7
In many problems, you are presented with a sequence of numbers, and you have to use the arithmetic sequence formula to write a rule to derive any term in that particular sequence. For example, write a rule for the sequence 7, 12, 17, 22, 27, . . . The common difference (d...
49K Understand what an arithmetic sequence is and discover how to solve arithmetic sequence problems using the explicit and recursive formulas. Learn the formula that explains how to sum a finite number of terms of an arithmetic progression. Related...