A geometric sequence is a sequence of numbers where the ratio of consecutive terms is constant. This ratio is called the common ratio (r). Sometimes the terms of a geometric sequence get so large that you may need to express the terms in scientific notation rounded to the nearest tenth.
For the following geometric sequences, find a and r and state the formula for the general term. 1, 3, 9, 27, ... 12, 6, 3, 1.5, ... 9, -3, 1, ... 5. 6. Find the number of terms in the following arithmetic sequences. Hint: you will need to find the formula for t first! 9, 5, 1, ..... - 251. = -59 4.
Sequences involving repeated addition or subtraction are known as Arithmetic. (Think of subtraction as adding a negative number and these can all be written as addition patterns.)
4.3 Arithmetic and Geometric Sequences Worksheet Determine if the sequence is arithmetic. If it is, find the common difference. 1) −9, −109 , −209 , −309 , ... 2) 28 , 18 , 8, −2, ... 3) 28 , 26 , 24 , 22 , ... 4) −16 , −6, 4, 14 , ... 5) −8, −4, 0, 4, ... 6) 1, 1 2, 0, − 1 2, ...
Comparing Arithmetic and Geometric Sequences Date_____ Period____ For each sequence, state if it is arithmetic, geometric, or neither. 1) 1, 3, 6, 10 , 15 , ...
Worksheet 3:6 Arithmetic and Geometric Progressions Section 1 Arithmetic Progression An arithmetic progression is a list of numbers where the di erence between successive numbers is constant. The terms in an arithmetic progression are usually denoted as u1;u2;u3 etc. where
Arithmetic and Geometric Sequences and Series Worksheets
Arithmetic and Geometric Sequences and Series Lesson. This worksheet explains the differences and use of arithmetic and geometric sequence and series to solve for terms. A sample problem is solved, and two practice problems are provided.
Given a term in an arithmetic sequence and the common difference find the term named in the problem, the explicit formula, and the recursive formula. Evaluate the related series of each sequence. Evaluate each arithmetic series described.
Arithmetic and Geometric Sequences Worksheets - Math Worksheets …
Guides students through Arithmetic and Geometric Sequences. To find any term of an arithmetic sequence: an = a1 + (n-1)d where a1 is the first term of the sequence, d is the common difference, n is the number of the term to find.
Arithmetic and geometric sequence and series Study Development Worksheet Questions 1. The first three terms in an arithmetic sequence are 1, 7 and 13. Find the common difference. 2. The second, third, and fourth terms in an arithmetic sequence as 6, 8 and 10. What is the first term and the common difference? 3.