Geometric sequence.pptx
- 2. •. Find the sum of the first thirty terms in arithmetic sequence 0,1, 2, 3, … 435
- 3. • Find the sum of the first thirty terms in arithmetic sequence 0,1, 2, 3, …
- 6. GEOMETRIC SEQUENCE • OBJECTIVES: • demonstrate knowledge and skills related to geometric sequence and apply these in solving problems. • describe a geometric sequence in any of the following ways: • Giving the first few terms of the sequence • Giving the formula for the nth term
- 10. ACTIVITY 2 •The First Few Terms of a Geometric Sequence • • Making one fold on a sheet of a paper, you can form two rectangles. Now fold the paper again, and count the rectangles formed (count only the smallest rectangle as shown below). Continue this process until you can no longer fold the paper.
- 11. • Notice that each term after the first may be formed by multiplying the previous term by 2.
- 12. A geometric sequence or progression is a set of terms in which each term after the first is obtained by multiplying the preceding term by the same fixed number called the common ratio which is commonly represented by r. The common ratio may be integral or fractional, negative or positive, and it can be found by dividing any term by the term that precedes is.
- 13. 3, 9, 27, . . . is a geometric sequence, 3 is multiplied to any term to get the next term. Therefore, we can say that 3 is the common ratio.
- 14. Determine whether each sequence is geometric . If so, find the common ratio. a. 2, 4, 6, 8, . . . 2 is being added to each term to get the next term. Therefore, the sequence is an arithmetic sequence. The common difference is 2
- 15. a.2, 4, 8, 16, . . . 2 is being multiplied to each term to get the next term. Therefore, the sequence is a geometric sequence. The common ratio is 2.