The next three terms in the sequence are : 45, 42 and 126
Given the sequence 2, 6, 3, 9, 6, 18, 15
Rule :
- Multiply the first term by 3 to obtain the second term
- Subtract 3 from the 2nd term to obtain the third term
- The third term is multiplied by 3 to obtain the fourth term
- Subtract 3 from the fourth term to obtain the fifth term.
- And the process continues....
Starting with the first term ; 2 ;
2nd term = 2 × 3 = 6
3rd term = 6 - 3 = 3
4th term = 3 × 3 = 9
5th term = 9 - 3 = 6
6th term = 6× 3 = 18
7th term = 18 - 3 = 15
8th term = 15 × 3 = 45
9th term = 45 - 3 = 42
10th term = 42 × 3 = 126
Hence, the next three terms of the sequence are : 45, 42 and 126
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