Arithmetic Sequences and Series - TI Education

arithmetic sequence  In y = ax +b when are a, -ba, b in arithmetic progression The polynomial y = ax^2 + bx + c has roots r1 and r2 Can a, r1, b, r2 and c be in arithmetic Given the first term and the common difference of an arithmetic sequence find the recursive formula and the three terms in the sequence after the last one

The formula used to find the terms of an arithmetic sequence is a_n=a+d The subsequent terms of an arithmetic sequence can also be found by adding the Explanation This formula tells us that, guven an arithmetic sequence, we can find the common difference d by subtracting any term from the next For example,

The formula for the sum of an arithmetic sequence is: S n = n 2 , where: n = the number of terms to be added; a = the first term in the This is an arithmetic sequence with first term 1 and common difference 7 Let the number of terms in the sequence be n ⇒n = 11 since −727 is not an integer