A set of problems and exercises involving arithmetic sequences along with detailed solutions and answers are presented review of arithmetic sequences the formula for the n th term a n of an arithmetic sequence with a common difference d and a first term a 1 is given by. Arithmetic sequence problems reference mathematics algebra sequences and series there are many problems we can solve if we keep in mind that the nth term of an arithmetic sequence can be written in the following way a n a 1 n 1d where a 1 is the first term and . Intro to practice problems now that youre familiar with both arithmetic and geometric series its time to test your skills with a few more exampleswell need to remember the two shortcuts for . Find the 14th partial sum of the sequence a n 4n 20 all we need to do to evaluate this partial sum is to find the number of terms as well as the first and last terms lets start by listing the first few terms to find the first term and common difference d
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