# 1.1 - Arithmetic Sequences (Solutions). · PDF file 2019. 10. 4. · 1.1 ­ Arithmetic Sequences (Solutions).notebook November 23, 2015 Arithmetic Sequence formula : tn = term value

• View
1

0

Embed Size (px)

### Text of 1.1 - Arithmetic Sequences (Solutions). · PDF file 2019. 10. 4. · 1.1 ­...

• 1.1 ­ Arithmetic Sequences (Solutions).notebook November 23, 2015

Chapter 1

SEQUENCES  AND SERIES

1.1 Arithmetic  Sequences

• 1.1 ­ Arithmetic Sequences (Solutions).notebook November 23, 2015

An arithmetic sequence results when there  is common difference that is added to the  previous term to get the next term.

Example:

Which of the following sequences are arithmetic?

• 1.1 ­ Arithmetic Sequences (Solutions).notebook November 23, 2015

Arithmetic Sequence formula :

tn = term value of nth term t1 = first term n = term number d = common difference

tn = t1 + (n­1)d

1) Nick is cutting some ribbons into different lengths. The  lengths of a group of 6 ribbons form a sequence. If the  lengths of the three shortest ribbons are 12cm, 19cm, and  26cm respectively.

a) Find the general term  (formula) of the sequence.                          b) Find the length of the longest ribbon group.

• 1.1 ­ Arithmetic Sequences (Solutions).notebook November 23, 2015

2)   Determine how many terms are in the following sequence:

61, 55, 49, ..., ­119.

3) In a sequence t12 = 52  and  t22 = 102.

a) Determine a formula for the sequence  b) find t45.

• 1.1 ­ Arithmetic Sequences (Solutions).notebook November 23, 2015

4) Kristie is training for a half marathon. The time she runs each day  forms an arithmetic sequence. On the third day of the training, she  ran 30 minutes. On the fifth day of the training, she ran 40 minutes.

a)  Determine the general term for the sequence.

b) The time to run a half marathon is 110 minutes. On what  day of her training will Jessie run for this length of time?

pg. 16

# 1, 3, 5acd, 6ac, 9,  11, 13, 16, 17, 22

Page 1 Page 2 Page 3 Page 4 Page 5 ##### 4.6 Arithmetic Sequences - 4.6 Arithmetic Sequences 209 4.6 Arithmetic Sequences COMMON ... Equation for an Arithmetic Sequence ... 13, 18, 23, 28, . . . 6. 175, 150, 125, 100,
Documents ##### Arithmetic Sequences - Washingtonville Central School  · PDF file1 Arithmetic Sequences I know how to differentiate among arithmetic and geometric and I understand that sequences
Documents ##### Math 34: Arithmetic Sequences - Pennsylvania ... Arithmetic Sequences Math 34: Spring 2015 Arithmetic Sequences Review Real World Examples General Way to Write an Arithmetic Sequence
Documents ##### Sequences and Series: Arithmetic Series - Physics & pmt. Sequences and series – Arithmetic series C1 Sequences and series: Arithmetic series – Questions 2 1. A farmer has a pay
Documents ##### Sequences and Series: Arithmetic Series ... C1 Sequences and series – Arithmetic series C1 Sequences and series: Arithmetic series – Questions 7 9. An athlete prepares for a race
Documents ##### Mathematical Patterns. Arithmetic Sequences. Arithmetic ... · PDF file Arithmetic Sequences. Arithmetic Series. To identify mathematical patterns found n a sequence. To use a formula
Documents ##### Objectives: To identify and extend patterns in sequences. To represent arithmetic sequences using functions notation Arithmetic Sequences
Documents ##### 14.1 Arithmetic Sequences OBJ: Find terms of arithmetic sequences
Documents ##### IB_Mathematics_HL_Revision - WELCOME IGCSE · PDF fileRahul Chacko IB Mathematics HL Revision – Step One Chapter 1.1 – Arithmetic sequences and series; sum of finite arithmetic
Documents ##### Sec 2.1.5 How Arithmetic Sequences Work? Generalizing Arithmetic Sequences
Documents ##### Section 9.2 Arithmetic Sequences. OBJECTIVE 1 Arithmetic Sequence
Documents ##### 8.2: Arithmetic Sequences and Partial Sums ... 8.2: Arithmetic Sequences and Partial Sums Objectives SWBAT •Recognize, write, and ﬁnd the nth terms of arithmetic sequences. •Find
Documents Documents