Download presentation

Presentation is loading. Please wait.

Published byIliana Arnold Modified over 2 years ago

1
EXAMPLE 5 Standardized Test Practice SOLUTION a 1 = 3 + 5(1) = 8 a 20 = 3 + 5(20) =103 S 20 = 20 ( ) 8 + 103 2 = 1110 Identify first term. Identify last term. Write rule for S 20, substituting 8 for a 1 and 103 for a 20. Simplify. ANSWER The correct answer is C.

2
EXAMPLE 6 Use an arithmetic sequence and series in real life You are making a house of cards similar to the one shown Write a rule for the number of cards in the nth row if the top row is row 1. a. What is the total number of cards if the house of cards has 14 rows? b. House Of Cards

3
EXAMPLE 6 Use an arithmetic sequence and series in real life SOLUTION Starting with the top row, the numbers of cards in the rows are 3, 6, 9, 12,.... These numbers form an arithmetic sequence with a first term of 3 and a common difference of 3. So, a rule for the sequence is: a. a n = a 1 + (n – 1) = d = 3 + (n – 1)3 = 3n Write general rule. Substitute 3 for a 1 and 3 for d. Simplify.

4
EXAMPLE 6 Use an arithmetic sequence and series in real life SOLUTION Total number of cards = S 14 = 14 ( ) a 1 + a 14 2 = 14 ( ) 3 + 42 2 = 315 Find the sum of an arithmetic series with first term a 1 = 3 and last term a 14 = 3(14) = 42. b.

5
GUIDED PRACTICE for Examples 5 and 6 5. Find the sum of the arithmetic series (2 + 7i). 12 i = 1 ANSWER S 12 = 570 6. WHAT IF? In Example 6, what is the total number of cards if the house of cards has 8 rows? ANSWER 108 cards

Similar presentations

Presentation is loading. Please wait....

OK

Warm Up Lesson Presentation Lesson Quiz

Warm Up Lesson Presentation Lesson Quiz

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on functional components of computer system Ppt on energy cogeneration plant Download ppt on 3d printing Ppt on summary writing rubric Ppt on us time zones Upload and view ppt online ticket Ppt on regular expression tester Ppt on review of related literature about grammar Vector scan display ppt online Ppt on ic fabrication steps