Asked by Jasmine
Complete the pattern: 486, 162, 54, 18, _, _
Answers
Answered by
Bosnian
162 / 486 = 162 ∙ 1 / 162 ∙ 3 = 1 / 3
54 / 162 = 54 ∙ 1 / 54 ∙ 3 = 1 / 3
18 / 54 = 18 ∙ 1 / 18 ∙ 3 = 1 / 3
The ratio of any successive terms of the sequence is equal
Sequence is geometric progression with first term 486 and a common ratio 1 / 3
Next two terms are:
18 ∙ 1 / 3 = 6
6 ∙ 1 / 3 = 2
54 / 162 = 54 ∙ 1 / 54 ∙ 3 = 1 / 3
18 / 54 = 18 ∙ 1 / 18 ∙ 3 = 1 / 3
The ratio of any successive terms of the sequence is equal
Sequence is geometric progression with first term 486 and a common ratio 1 / 3
Next two terms are:
18 ∙ 1 / 3 = 6
6 ∙ 1 / 3 = 2