What is the next term in the sequence: 3, 6, 12, 21, 33…?
What is the next term in the sequence: 3, 6, 12, 21, 33…?
Aniket Singh , 10 Months ago
Grade
11 grade maths others> What is the next term in the sequence: 3,...
1 AnswersAskiitians Tutor Team
Last Activity: 10 Months ago
To determine the next term in the sequence, let's analyze the differences between consecutive terms:
6 - 3 = 3
12 - 6 = 6
21 - 12 = 9
33 - 21 = 12
From the differences, we can observe that they are increasing by 3 each time. Therefore, we can infer that the differences between consecutive terms are following their own arithmetic sequence: 3, 6, 9, 12.
To find the next difference, we add 3 to the last difference:
12 + 3 = 15
Now, let's calculate the next term by adding this new difference to the last term in the sequence:
33 + 15 = 48
Therefore, the next term in the sequence is 48.
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