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.
What is the next number in the sequence?
1,2,4,7,11,16,22,?
4 answers
1, 1, 3, 7, 13, 21, 31, ?
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
Uh I don't get it
1 answer