arithmetic mean find the missing number(s) that makes each sequence arithmetic 1. 7,___,192. 12,___,___,24
Answer (1)
Arithmetic Sequence1.) 7, ___, 19Find the common difference (d):In an arithmetic sequence, the difference between consecutive terms is constant.Let the missing number be x. Then, x - 7 = 19 - x2x = 26x = 13Check:13 - 7 = 619 - 13 = 6Missing number: 13Sequence: 7, 13, 192.) 12, ___, ___, 24Find the common difference (d):Let the missing numbers be x and y. Then, x - 12 = y - x = 24 - ySince there are two missing numbers, we can find the common difference by considering the entire sequence.There are 3 intervals between the 4 terms. So, 24 - 12 = 3d12 = 3dd = 4Find the missing numbers:x = 12 + 4 = 16y = 16 + 4 = 20Sequence: 12, 16, 20, 24Final answers (summary):1.) 7, 13, 192.) 12, 16, 20, 24
