find the missing terms for each arithmetic sequence and state the common difference 0,___,___, 2, 8/3...
Mathematics · High School · Tue Nov 03 2020
Answered on
The missing term in the arithmethic sequence are ⅔ and 4/3.
It can be determined by taking the common difference of the 5th term and the 4th term which is 8/3 and 2.
8/3 - 2 can simply be rewritten as 8/3 - 6/3, since 6/3 = 2
8/3 - 6/3 = ⅔ , therefore r or the common difference is ⅔
Checking the sequence given by the common difference of ⅔
1st term: 0
2nd term: 0 + ⅔ = ⅔
3rd term: ⅔ + ⅔ = 4/3
4th term: 4/3 + ⅔ = 6/3 or 2
5th term: 6/3 + ⅔ = 8/3
0, ⅔, 4/3, 2, 8/3