Determine the next two numbers in the following sequence
and determine an explicit algebraic definition for the nth term.
43, 44, 50, 53, 65, 60, 88, 95, 119, …
are you sure its not
43,44,50,53,65,70,88,95,119 ?
the differences between terms follows the pattern
1,6,3,12,5,18,7,24 which means the differnce in the next 2 terms would be 9,30 giving 128 and 158 as the next 2 terms
the terms alternate increasing by 2n+1 and 6n
Hello, warriors8371
If the sixth term is 70, there is an interesting solution.
Determine the next two numbers in the following sequence
and determine an explicit algebraic definition for the term.
. .
Consider the two subsequences formed by odd and even
. . The generating function is: . .[1] .for odd
. . The generating function is: . .[2] .for even
To make the two functions alternate:
. . (1) Multiply [1] by
. . (2) Multiply [2] by
. . (3) Add the two results.
We have: .
. . which simplifies to: .
The next two terms are:
. . .
. . .