# 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

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• 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

• 1. an = 4 5 n +12

1 2 3 4 5 6 7 8 9 10n an

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 +19 Find the sum of the finite arithmetic sequence.

Sum of Finite Arithmetic Seq.

Sn = n 2 a1 + an( )

• 6. n n=51

100

∑ − n n=1

50

7. 1000 − n( ) n=0

250

5. 2n n=1

100

∑ Find the partial sum without a graphing utility.

Sum of Finite Arithmetic Seq.

Sn = n 2 a1 + 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.

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