Question

Which sequence is equivalent to t(n) = 3 + 6n, n > 1 where ?

Answer
a. t(1) = 9; t(n + 1) = 6t(n)
b. t(1) = 9; t(n + 1) = t(n) + 6
c. t(1) = 3; t(n + 1) = t(n) + 6
d. t(1) = 3; t(n + 1) = 6t(n)

Answer 1

t(1) = 3+6(1) = 9
so it is choice a or b. Then use t(1) to see what t(1+1) is
using the original problem t(2)=3+6(2) = 15
see which choice a or b gives you 15 when you use 1 for n

Answer 2

b. t(1) = 9; t(n + 1) = t(n) + 6

put 1 you have 9
put 2 you have 15
put 3 you have 21
...
9,15,21,27, ... then t(n + 1) - t(n) = 6

Answer 3

b is correct, nice job