Word Problem

Jeanette is writing the first five terms of an arithmetic sequence. She knows that f (1) is - 27 and the common difference is 5. She believes that the first five terms are - 27, - 32, - 37, - 42 and - 47. Is she correct? Justify your answer using complete sentences and proper grammar.

Jeanette is not correct. In an arithmetic sequence, to find the next number, you have to add the common difference. If the first number is - 27, to find the next number you have to add 5, making the next number - 22. The pattern of adding 5 would continue making the first 5 terms of the sequence : - 27,-22,-17,-12, - 7.