# 11th term of the sequence - Arithmetic Sequence

Find the formula for the 11th term of the sequence in which a1 = 6 and the common ratio is -3.

### Comments for 11th term of the sequence - Arithmetic Sequence

 May 20, 2011 Arithmetic Sequence by: Staff The question: Find the formula for the 11th term of the sequence in which a1 = 6 and the common ratio is -3. The answer: The term “common ratio” is the term used with a geometric sequence. 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 Applying the notation to your problem Assuming you actually meant “difference between consecutive terms” rather than “common ratio” a_1 = 6 d = difference between consecutive terms = -3 a_n = a_1 + (n - 1) * (d) a_11 = 6 + (11 - 1) * (-3) a_11 = 6 + (10) * (-3) a_11 = 6 - 30 a_11 = -24 the final answer is: a_11 = -24 Thanks for writing. Staff www.solving-math-problems.com