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Worksheet for practicing arithmetic sequences and series, including formulas and problems to find nth terms and sums.

Arithmetic Sequences & Series Worksheet with instructions and problems for finding nth terms and sums of arithmetic 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: -17, Formula: aₙ = 18 + (n-1)·(-7)
d. 16th term: 10.5, Formula: aₙ = 3 + (n-1)·0.5

3. a. Sum: 904, Notation: Σₖ₌₁¹⁶ (4 + (k-1)·7)
b. Sum: 160, Notation: Σₖ₌₁¹⁰ (19 + (k-1)·(-6))
c. Sum: 585, Notation: Σₖ₌₁²⁰ (3 + (k-1)·5.5)
d. Sum: 120, Notation: Σₖ₌₁⁸ (-9 + (k-1)·8)
e. Sum: 1323, Notation: Σₖ₌₁²⁵ (5 + (k-1)·4)
f. Sum: 1166, Notation: Σₖ₌₁²⁷ (83 + (k-1)·(-3))

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

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