In the arithmetic sequence –3, 4, 11, 18, …, find the sum of the first 20 terms.įind the sum of the multiples of 3 between 28 and 112. This formula for the sum of an arithmetic sequence requires the first term, the common difference, and the number of terms. Substituting this last expression for ( a 1 + a n) into Formula 1, another formula for the sum of an arithmetic sequence is formed. This formula requires the values of the first and last terms and the number of terms. If S nrepresents the sum of an arithmetic sequence with terms, then Following is a simple formula for finding the sum: Quiz: Binomial Coefficients and the Binomial TheoremĪn arithmetic series is the sum of the terms in an arithmetic sequence with a definite number of terms.Binomial Coefficients and the Binomial Theorem.Quiz: Definition and Examples of Sequences.Quiz: Exponential and Logarithmic Equations.Systems of Inequalities Solved Graphically.Quiz: Systems of Equations Solved Graphically.Systems of Equations Solved Graphically.Quiz: Systems of Equations Solved Algebraically.Systems of Equations Solved Algebraically.Quiz: Solving Equations in Quadratic Form.Quiz: Solving Quadratics by the Quadratic Formula.Solving Quadratics by the Quadratic Formula.Quiz: Solving Quadratics by Completing the Square.Solving Quadratics by Completing the Square.Quiz: Solving Quadratics by the Square Root Property.Solving Quadratics by the Square Root Property.Quiz: Adding and Subtracting Radical Expressions.Adding and Subtracting Radical Expressions.Quiz: Proportion, Direct Variation, Inverse Variation, Joint Variation.Proportion, Direct Variation, Inverse Variation, Joint Variation.Quiz: Adding and Subtracting Rational Expressions.Adding and Subtracting Rational Expressions.Quiz: Trinomials of the Form ax^2 + bx + c.Quiz: Trinomials of the Form x^2 + bx + c.
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