Find the next number in the sequence: 1, 3, 5, 10, 19, 37, 72, 141

[Sohiaa]

Find the next number in the sequence:

1, 3, 5, 10, 19, 37, 72, 141

 

[JeffM]

1, 3, 5, 10, 19, 37, 72, 141

https://www.freemathhelp.com/forum/threads/109845-Guidelines-Summary?p=422890&viewfull=1#post422890

What ideas do you have? What have you tried?

By the way, did your teacher tell you that such questions have more than one correct answer? What you are being asked to find is a rule that explains the sequence of given numbers and then to apply that rule to find the next number in that sequence. But there may be multiple rules that give you that initial sequence.

 

[Dr.Peterson]

1, 3, 5, 10, 19, 37, 72, 141

It would help to know the context. Some sequence questions like this come after a lesson about a particular type of sequence, so you can guess what type it is, and it is an actual math problem; while others are just "lateral-thinking" type puzzles (for which you have to consider all possibilities, and therefore can never be positive that your answer is the intended one).

In this case, I think it is the latter. What I see is that, for later terms, it is approximately doubling each time; so you might compare this to the exponential (geometric) sequence 1, 2, 4, ..., and see what modification you have to make.