2. {-3, 1, 5, 9, ...} What is the explict rule? Give your answer as an equation.
3. For #2, what is the 100th term? 4. {-3, -6, -12, -24, ... } What is the explicit rule?
4. {-3, -6, -12, -24, ... } What is the explicit rule?
5. {5, -15, 45, ... } What is the explicit rule?
6. Does 4*4^(n-1) = 4^n ?
PLEASE HELP ME ANSWER THESE FAST, THESE ARE REVIEW PROBLEMS FOR A TEST TOMORROW.!!
2. Arithmetic series
Common difference, d, = 4
First term = -3
Explcit rule
an = -3 + 4 ( n -1) where an is the nth term
3. 100th term for number 2 is -3 + 4(100 - 1) = -3 + 4(99) = 393
4. Geometric
common ratio, r = -2
First term = -3
Explicit rule
an = -3(2)^(n -1)
5. Geometric....commom ratio = -3 first term = 5
Explicit rule
an = 5 (-3)^(n -1)
6. 4* 4^(n -1) = 4 * 4^n * 4^(-1) = 4 * 4^n / 4 = 4^n