Asked by Payttan
What is the next number in the sequence?
1,2,4,7,11,16,22,?
1,2,4,7,11,16,22,?
Answers
Answered by
mathhelper
The increases from one number to its next is follows the pattern
1, 2, 3, 4, 5, ....
So it should be easy to see that the next number is 22+7 = 29
on a next higher level of the study of these, you will be asked to
find the expression for any term(n), where n is the term number
You will learn that the above sequence is quadratic and learn several
methods to find the defining function.
1, 2, 3, 4, 5, ....
So it should be easy to see that the next number is 22+7 = 29
on a next higher level of the study of these, you will be asked to
find the expression for any term(n), where n is the term number
You will learn that the above sequence is quadratic and learn several
methods to find the defining function.
Answered by
Payttan
1, 1, 3, 7, 13, 21, 31, ?
Answered by
mathhelper
after playing around a bit with these ...
...
...
3 = 1x2 + 1
7 = 2x3 + 1
13 = 3x4 + 1
21 = 4x5 + 1
31 = 5x6 + 1
mmmhhhh?
how about
t(n ) = (n-2)(n-1) + 1
does not work for t(1) so it must be defined as t(1) = 1
testing for t(7) = (5)(6) + 1 = 31 , ok then!
t(n) = (n-2)(n-1) +1, where t(1) = 1 , and n > 1, with n ∊ N
...
...
3 = 1x2 + 1
7 = 2x3 + 1
13 = 3x4 + 1
21 = 4x5 + 1
31 = 5x6 + 1
mmmhhhh?
how about
t(n ) = (n-2)(n-1) + 1
does not work for t(1) so it must be defined as t(1) = 1
testing for t(7) = (5)(6) + 1 = 31 , ok then!
t(n) = (n-2)(n-1) +1, where t(1) = 1 , and n > 1, with n ∊ N
Answered by
Paytton
Uh I don't get it
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