![]() ![]() These Algebra 2 Sequences and Series Worksheets will produce problems with arithmetic and geometric means. These Sequences and Series Worksheets are a good resource for students in the 8th Grade through the 12th Grade.Īrithmetic and Geometric Means Worksheets These Algebra 2 Sequences and Series Worksheets will produce problems with arithmetic series. These Sequences and Series Worksheets are a good resource for students in the 8th Grade through the 12th Grade. These Algebra 2 Sequences and Series Worksheets will produce problems that will introduce the student to general series. These Algebra 2 Sequences and Series Worksheets will produce problems for comparing arithmetic and geometric sequences. These Sequences and Series Worksheets are a good resource for students in the 8th Grade through the 12th Grade.Ĭomparing Arithmetic and Geometric Sequences Worksheets These Algebra 2 Sequences and Series Worksheets will produce problems with geometric sequences. These Algebra 2 Sequences and Series Worksheets will produce problems with arithmetic sequences. These Algebra 2 Sequences and Series Worksheets will produce problems that will introduce the student to general sequences. At the end of the first year you will have a total of: \ With simple interest, the key assumption is that you withdraw the interest from the bank as soon as it is paid and deposit it into a separate bank account.Detailed Description for All Sequences and Series Worksheets You are paid $15\%$ interest on your deposit at the end of each year (per annum). We refer to $£A$ as the principal balance. Simple and Compound Interest Simple Interest For example, \ so the sequence is neither arithmetic nor geometric. A series does not have to be the sum of all the terms in a sequence. The starting index is written underneath and the final index above, and the sequence to be summed is written on the right. ![]() We call the sum of the terms in a sequence a series. The Summation Operator, $\sum$, is used to denote the sum of a sequence. ![]() If the dots have nothing after them, the sequence is infinite. If the dots are followed by a final number, the sequence is finite. Note: The 'three dots' notation stands in for missing terms. is a finite sequence whose end value is $19$.Īn infinite sequence is a sequence in which the terms go on forever, for example $2, 5, 8, \dotso$. For example, $1, 3, 5, 7, 9$ is a sequence of odd numbers.Ī finite sequence is a sequence which ends. Contents Toggle Main Menu 1 Sequences 2 The Summation Operator 3 Rules of the Summation Operator 3.1 Constant Rule 3.2 Constant Multiple Rule 3.3 The Sum of Sequences Rule 3.4 Worked Examples 4 Arithmetic sequence 4.1 Worked Examples 5 Geometric Sequence 6 A Special Case of the Geometric Progression 6.1 Worked Examples 7 Arithmetic or Geometric? 7.1 Arithmetic? 7.2 Geometric? 8 Simple and Compound Interest 8.1 Simple Interest 8.2 Compound Interest 8.3 Worked Examples 9 Video Examples 10 Test Yourself 11 External Resources SequencesĪ sequence is a list of numbers which are written in a particular order. ![]()
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