# Arithmetic Sequence - how do i solve this problem

n = the number of terms altogether n = 10
d = the common difference d = 25
a1 = the first term a1 = 100
an = the last term an = a9

### Comments for Arithmetic Sequence - how do i solve this problem

 May 12, 2012 Arithmetic Sequence (Arithmetic Progression) by: Staff Question: n = the number of terms altogether n = 10 d = the common difference d = 25 a1 = the first term a1 = 100 an = the last term an = a9 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 Applying the notation to your problem a_1 = the first term = 100 d = the common difference = 25 n = number of terms =10 a_n = a_1 + (n - 1) * (d) a_10 = 100 + (10 - 1) * (25) a_10 = 100 + (9) * (25) a_10 = 100 + 225 a_10 = 325 >>> the final answer is: a_10 (the last term in the sequence) = 325 Thanks for writing. Staff www.solving-math-problems.com