margie said:
The sequence generated by the difference equation tn+1=3tn-2 has 22 as the second term. The first term is:
A -2
B 1
C 64
D 8
E 24
...difference equation tn+1=3tn-2 has...
is it
\(\displaystyle t_{n+1} \, = 3t_{n} \, - \, 2\)
or
\(\displaystyle t_{n}+1 \, = 3t_{n-2} \,\)
or something else.....
If it is like the first example - let's do a
similar but different example
... has 10 as the second term. The first term is:
\(\displaystyle t_{n+1} \, = 3t_{n} \, - \, 2\)
\(\displaystyle t_2 \, = 3t_{1} \, - \, 2\)
\(\displaystyle 10 \, = 3t_{1} \, - \, 2\)
\(\displaystyle t_1 \, = \, 4\)
