Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Ppt on sequences and series by muku... by joywithmath 10239 views
- Sequence and series by viannafaye 308 views
- Arithmetic Sequence and Series by itutor 5161 views
- Sequences and series by Mustafa Demirdag 5505 views
- Sequences and series power point by lmgraham85 2896 views
- Arithmetic Sequence and Arithmetic ... by Joey Valdriz 1956 views

No Downloads

Total views

5,257

On SlideShare

0

From Embeds

0

Number of Embeds

2

Shares

0

Downloads

303

Comments

0

Likes

9

No embeds

No notes for slide

- 1. Sequences and Series<br />Prepared by:<br />Prof. Teresita P. Liwanag-Zapanta<br />B.S.C.E, M.S.C.M., M.Ed Math (units), PhD-TM (on-going)<br />
- 2. SPECIFIC OBJECTIVES:<br />At the end of the lesson, the student is expected to be able to:<br />• Define sequences and identify the different kinds of sequences.<br />• Find the nth term or the general term of a sequence for which some initial terms are given.<br />• Find the common difference of an arithmetic sequence.<br />• Find the common ratio of a geometric sequence.<br />• Find arithmetic means, harmonic means and geometric means.<br />• Find the sum of a finite arithmetic sequence, harmonic sequence and geometric sequence.<br />• Find the sum of an infinite geometric sequence.<br />
- 3. Sequence<br /> A sequence or progression is a list of objects, events or numbers in a definite order of occurrence. Each member of a sequence is called a term. A sequence is said to be finite if it contains finite number of terms. An infinite sequence is one having infinite number of terms, thus, the last term is not indicated. The notation , an, represents the nth term or the general term of the sequence.<br />Example: The following represent a sequence.<br />a) 2, 4, 6, 8<br />b) 1, 5, 9, 13, 17, 21,…<br />c) 1, 3, 9, 27, …<br />
- 4. <br />
- 5. <br />
- 6. <br />
- 7. <br />
- 8. <br />
- 9. Example: <br />The third term of a geometric sequence is 32 and the fifth term is 128. Find the first term and the common ratio.<br />What is the mean proportional between 15 and 60?<br />The fourth term of a geometric sequence is –10 and the sixth term is -40. What is the ninth term of the sequence?<br />KT Airlines’ passenger load has been increasing by 12 % annually. In 2000 they carried 20,500 passengers. How many passengers should they expect to carry in 2010?<br />
- 10. <br />
- 11. <br />
- 12. <br />

No public clipboards found for this slide

×
### Save the most important slides with Clipping

Clipping is a handy way to collect and organize the most important slides from a presentation. You can keep your great finds in clipboards organized around topics.

Be the first to comment