of 4 /4
8.2: Arithmetic Sequences and Partial Sums Objectives SWBAT Recognize, write, and ﬁnd the nth terms of arithmetic sequences. Find the nth partial sums of arithmetic sequences. Use arithmetic sequences to model and solve real-life problems. Vocabulary/Key Concepts Arithmetic Sequence Common Difference Sum of a Finite Arithmetic Sequence

# 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

others

• View
31

0

Embed Size (px)

### Text of 8.2: Arithmetic Sequences and Partial Sums …...8.2: Arithmetic Sequences and Partial Sums... 8.2: Arithmetic Sequences and Partial Sums

ObjectivesSWBAT

•Recognize, write, and find the nth terms of arithmetic sequences. •Find the nth partial sums of arithmetic sequences. •Use arithmetic sequences to model and solve real-life problems.

Vocabulary/Key Concepts

Arithmetic Sequence Common Difference

Sum of a Finite Arithmetic Sequence 1. an =45n +12

1 2 3 4 5 6 7 8 9 10nan

Use the table feature of a graphing utility to find the first 10 terms of the sequence.

3. 1,3,5,7,...,199

4. −10,−9,−8,...,50

2. 1+ 4 + 7 +10 +13+16 +19Find the sum of the finite arithmetic sequence.

Sum of Finite Arithmetic Seq.

Sn =n2a1 + an( ) 6. nn=51

100

∑ − nn=1

50

7. 1000 − n( )n=0

250

5. 2nn=1

100

∑Find the partial sum without a graphing utility.

Sum of Finite Arithmetic Seq.

Sn =n2a1 + an( ) 9. 10.5 + 0.025 j( )

j=1

200

∑8. 50 − 2n( )n=0

50

∑Use a graphing utility to find the partial sum. 10. Number of Logs Logs are stacked in a pile, as shown in the figure. The row has 15 logs and the bottom row has 24 logs. How many logs are in the pile? ##### SECTION 9.2: ARITHMETIC SEQUENCES and … 9.2: ARITHMETIC SEQUENCES and PARTIAL SUMS ... (Chapter 9: Discrete Math) 9.13 PART B: ... arithmetic sequences often arise from linear models
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 ##### 4.6 Arithmetic Sequences - Weeblyederushe.weebly.com/uploads/3/7/6/5/37655305/alg._1_4.6_tb.pdfSection 4.6 Arithmetic Sequences 209 4.6 Arithmetic Sequences COMMON ... Equation for
Documents ##### Concept 16: Arithmetic & Geometric Sequences€¦ · Concept 16 Arithmetic & Geometric Sequences Notes Level 2: Goals: Identify Arithmetic and Geometric Sequences Find the next term
Documents ##### 12.1 – Arithmetic Sequences and Series. An introduction………… Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic
Documents ##### 9.2 – Arithmetic Sequences and Series. An introduction………… Arithmetic Sequences ADD To get next term Geometric Sequences MULTIPLY To get next term Arithmetic
Documents    