Problem 30E

Find a formula in n, a, m, and d for the sum (a + md) + (a + (m + 1)d) + (a + (m + 2)d) +… + (a + (m + n)d), where m and n are integers, n ≥ 0, and a and d are real numbers. Justify your answer.

Week 1 and 2 of College Pre-algebra Life Saver notes! Order of operations Remember GEMDAS 1.G rouping 2.E xponents 3.M ultiply 4.D ivide 5.A dd 6.S ubtract NOTE: when multiplying, dividing, adding, and subtracting you do it as you are reading a book; you go left to right. Important things to remember!: When there are parenthesis ( ) inside of brackets [ ] be sure to do the parenthesis inside of the brackets first. Ex: 35- [3+(9-7)-2] The first step of the problem would be what is in the parenthesis, so (9-7) then you can solve for what remains left in the larger bracket. Don't be intimidated if you see fractions! Fractions just simply mean divide | | aka absolute value is considered a grouping symbol When you have to find