Arithmetic and Geometric Sequences Practice Homework.
How can we use arithmetic and geometric sequences to model real-world situations? How do we distinguish graphically between an arithmetic and a geometric sequence? 9.1 Sequences We call a list of numbers written down in succession a sequence; for example, the numbers drawn in a lottery: 12,22,5,6,16,43,. For this sequence, there is no clear rule that will enable you to predict with certainty.
Arithmetic and Geometric Sequences Worksheets for 7th Grade, 8th grade and High School.
Math formulas and cheat sheet generator for arithmetic and geometric series.
This type of sequence is known as a linear sequence (or, occasionally, an arithmetic progression), and is recognisable by the fact that all linear sequences have the same difference between each term, which in this case is 3. More on this soon.
What is a geometric sequence. Have a look at how musical notes make a geometric sequence. How to visualise an arithmetic sequence. If you are saving money, find out how it can be shown on a graph.
Arithmetic Sequences A list of numbers that follows a rule is called a sequence. Sequences whose rule is the addition of a constant are called arithmetic sequences, similar to geometric sequences that follow a rule of multiplication. Homework problems on arithmetic sequences often ask us to find the nth term of a sequence using a formula.
Find the sum s 3, s 5 and s 10 of the geometric sequence if you know: The finite geometric sequence has 10 terms. The sum of all terms with the even index is 682 and the sum of all terms with the odd index is 1,364. Determine the first term and the quotient of the sequence. The sum of the first and the third term of a geometric sequence is 15.