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Sagot :
Answer: 852
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Explanation:
The given sequence is 5, 12, 33, 96, 285, ...
- The jump from 5 to 12 is +7
- The jump from 12 to 33 is +21
- The jump from 33 to 96 is +63
- The jump from 96 to 285 is +189
The sequence of increases is: 7, 21, 63, 189
Then notice,
- The jump from 7 to 21 is "times 3"
- The jump from 21 to 63 is also "times 3"
- The jump from 63 to 189 is also "times 3".
Assuming this pattern keeps up, the next increment will be 189*3 = 567
We add this increment to the last term of the original sequence
285+567 = 852
The sequence is now 5, 12, 33, 96, 285, 852, ...
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