Question

Please Help! Fan + Medal

Use inductive reasoning to find the next term in the sequence 1, 2, 4, 7, 11, 16…

What is the next term?

Answer 1

@francesco.alemanno

Answer 2

@Mr.Man420

Answer 3

Hint:- the terms are increased by the following amounts
1 , 2 ,3 ,4 . 5 and so on

Answer 4

Inductive reasoning requires only strong evidence towards a conclusion, while deductive reasoning requires certainty. The gap between each consecutive term increases sequentially throughout the window of the sequence that we see; therefore, we can say, through induction, that this pattern will continue yielding the next 3 terms: 22, 29, 37.

Answer 5

The sequence function is not so easy to determine.
Refer to the Mathematica attachment.