For each sequence, write the next four terms
1. 36,12,4,4/3...
I know that the pattern in that the term is divided by 3, but I have no idea how to calculate/write the next four terms.
2 answers
4/9, 4/27, 4/81, 4/243.
an = 4 * 3 ^ ( 3 - n )
For n = 1
a1 = 4 * 3 ^ ( 3 - 1 ) = 4 * 3 ^ 2 = 4 * 9 = 36
For n = 2
a2 = 4 * 3 ^ ( 3 - 2 ) = 4 * 3 ^ 1 = 4 * 3 = 12
For n = 3
a3 = 4 * 3 ^ ( 3 - 3 ) = 4 * 3 ^ 0 = 4 * 1 = 4
For n = 4
a4 = 4 * 3 ^ ( 3 - 4 ) = 4 * 3 ^ ( - 1 ) = 4 / 3 ^ 1 = 4 / 3
For n = 5
a5 = 4 * 3 ^ ( 3 - 5 ) = 4 * 3 ^ ( - 2 ) = 4 / 3 ^ 2 = 4 / 9
For n = 6
a6 = 4 * 3 ^ ( 3 - 6 ) = 4 * 3 ^ ( - 3 ) = 4 / 3 ^ 3 = 4 / 27
For n = 7
a7 = 4 * 3 ^ ( 3 - 7 ) = 4 * 3 ^ ( - 4 ) = 4 / 3 ^ 4 = 4 / 81
For n = 8
a7 = 4 * 3 ^ ( 3 - 8 ) = 4 * 3 ^ ( - 5 ) = 4 / 3 ^ 5 = 4 / 243
For n = 1
a1 = 4 * 3 ^ ( 3 - 1 ) = 4 * 3 ^ 2 = 4 * 9 = 36
For n = 2
a2 = 4 * 3 ^ ( 3 - 2 ) = 4 * 3 ^ 1 = 4 * 3 = 12
For n = 3
a3 = 4 * 3 ^ ( 3 - 3 ) = 4 * 3 ^ 0 = 4 * 1 = 4
For n = 4
a4 = 4 * 3 ^ ( 3 - 4 ) = 4 * 3 ^ ( - 1 ) = 4 / 3 ^ 1 = 4 / 3
For n = 5
a5 = 4 * 3 ^ ( 3 - 5 ) = 4 * 3 ^ ( - 2 ) = 4 / 3 ^ 2 = 4 / 9
For n = 6
a6 = 4 * 3 ^ ( 3 - 6 ) = 4 * 3 ^ ( - 3 ) = 4 / 3 ^ 3 = 4 / 27
For n = 7
a7 = 4 * 3 ^ ( 3 - 7 ) = 4 * 3 ^ ( - 4 ) = 4 / 3 ^ 4 = 4 / 81
For n = 8
a7 = 4 * 3 ^ ( 3 - 8 ) = 4 * 3 ^ ( - 5 ) = 4 / 3 ^ 5 = 4 / 243