Determine whether a series is convergent or divergent. Lesson 116 use special sequences and iterate functions. Lessons 111 through 115 use arithmetic and geometric sequences and series. Worksheet 1 patterns, sequences and series maths at sharp. Arithmetic and geometric sequences and series reporting category expressions and operations topic exploring sequences and series primary sol aii. The common ratio of a sequence is the common multiplier. During the duration of an investment, the value of an investment can vary in. The general term of a geometric sequence is given by an a1 r. This extensive collection of series and sequence worksheets is recommended for high school students. Geometric sequences and series mathbitsnotebooka2 ccss.
Use the formula for the sum of a geometric series to determine the sum when a14 and r2 and we have 12 terms. Find sums of arithmetic, geometric, and infinite series. Now if we were asked to find the 12th term in this sequence, we would. Partial sum, infinite, arithmetic sequence and geometric series duration. In lesson 112, you will learn how the number of seats in the rows of an amphitheater can be modeled using a series.
Siyavulas open mathematics grade 12 textbook, chapter 1 on sequences and series covering geometric sequences. Find the missing term or terms in each geometric sequence. Videos, worksheets, and activities to help algebra students. You will receive your score and answers at the end. Explore various types of sequences and series topics like arithmetic series, arithmetic sequence, geometric sequence, finite and infinite geometric series, special series, general sequence and series, recursive sequence and partial sum of the series. A geometric sequence is a sequence of numbers in which each new term except for the first term is calculated by multiplying the previous term by a constant value called the constant ratio \r\. Geometric sequences and series algebra 2, sequences and series. Given two terms in a geometric sequence find the common ratio, the explicit formula, and the. If it is, find the common ratio, the 8th term, and the. Geometric sequences and series solutions, examples, videos.
Some of the questions will ask you to identify expressions that represent these sequences. The quiz will be math problems related to geometric sequences. A 4 is multiplied times each term to arrive at the next term. Determine whether each sequence is a geometric sequence. When the terms of a sequence are added, a series is formed. If so, identify the common ratio, r, and give the next three terms. Grade 12 sequences and series part 3b as examples 1 2 basic. Determine what type of sequence the following are and then complete the problem.
221 262 511 1185 531 527 4 436 1010 826 24 281 407 1561 1522 136 1048 1279 867 1120 992 301 826 163 1413 1056 999 1581 508 1588 511 332 1056 1422 779 925 473 376 428 934 933 541 1398