The next term of the sequence 1, 2, 4, 7, 11,....... is
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The next term of the sequence 1, 2, 4, 7, 11,....... is
15
16
17
18
The differences are: 2-1=1, 4-2=2, 7-4=3, 11-7=4. The next difference should be 5. 11+5 = 16.
The differences between the consecutive terms increase by 1 each time. The differences are 2 minus 1 equals 1, 4 minus 2 equals 2, 7 minus 4 equals 3, and 11 minus 7 equals 4, so the next difference must be 5. Adding 5 to the last term gives 11 + 5 = 16. The next term is 16.