Mathematics
emilywebster
10

Find an equation for the nth term of the arithmetic sequence. a14 = -33, a15 = 9

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(1) Answers
ElizbethLiddle208

For an arithmetic sequence the nth term can be solved by the equation,                             an = a1 + (n - 1) x d where d is the common difference and an and a1 is the nth and first term, respectively. Shown below is the calculation for d and a1.                            d = (a15 - a14) / (15 - 14) = (9 - -33) / 1 = 42                a14 = a1 + (n - 1) x d   ;   -33 = a1 + (14 - 1) x 42   ;   a1 = -579 Therefore, the general equation for the nth term of the given arithmetic sequence is                                        an = -579 + (n - 1) x 42

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