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Worksheet on arithmetic sequences and series, including formulas and practice problems.

Arithmetic Sequences & Series Worksheet with instructions and problems for finding nth terms and sums of sequences.

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Show Answer Key & Explanations Step-by-step solution for: SOLUTION: Arithmetic series worksheet - Studypool

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1. a. 7th term: 31, Formula: aₙ = 7 + (n-1)·4
b. 23rd term: 37, Formula: aₙ = -7 + (n-1)·2
c. 6th term: -16, Formula: aₙ = 18 + (n-1)·(-7)
d. 16th term: 10.5, Formula: aₙ = 3 + (n-1)·0.5

3. a. Sum: 696, Notation: Σ(i=1 to 16) [4 + (i-1)·7]
b. Sum: 20, Notation: Σ(i=1 to 10) [19 + (i-1)·(-6)]
c. Sum: 1150, Notation: Σ(i=1 to 20) [3 + (i-1)·5.5]
d. Sum: 16, Notation: Σ(i=1 to 8) [-9 + (i-1)·8]
e. Sum: 1323, Notation: Σ(i=1 to 25) [5 + (i-1)·4]
f. Sum: 1144, Notation: Σ(i=1 to 27) [83 + (i-1)·(-3)]

Parent Tip: Review the logic above to help your child master the concept of arithmetic sequence worksheet.

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