# Algebra 2 - Arithmetic Sequence - nth term

Find the 35th term of the sequence in which a1 = -10 and the common difference is 4

### Comments for Algebra 2 - Arithmetic Sequence - nth term

 Feb 15, 2012 Arithmetic Sequence - nth term by: Staff Question: Find the 35th term of the sequence in which a1 = -10 and the common difference is 4 Answer: An arithmetic sequence has the form: a_n = a_1 + (n - 1) * (d) a_n = a with a subscript of n (this is the nth term in the series) a_1 = a with a subscript of 1 (this is the 1st term in the series) n = number of terms d = difference between consecutive terms (the common difference) Applying the notation to your problem a_1 = -10 d (the common difference) = 4 The 35th term: n = 35 a_n = a_1 + (n - 1) * (d) a_35 = (-10) + (35 - 1) * (4) a_35 = (-10) + (34) * (4) a_35 = (-10) + 136 a_35 = 126 >>>The final answer is: 126 Thanks for writing. Staff www.solving-math-problems.com

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