Geometric sequence

1. GEOMETRIC SEQUENCE

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.