Question

Consider a sequence of numbers given by the definition `c_1=2, c_i=c_(i-1)*3`, how do you write out the first 4 terms and how do you find the value of `c_4-c_2`?

Answer 1

`c_4 - c_2 = 48`.

Explanation:

The terms can be obtained as follows.

`c_2 = c_(2 - 1) * 3 = c_1 * 3 = 2 * 3 = 6`

`c_3 = c_(3- 1) * 3 = c_2 * 3 = 6 * 3 = 18`

`c_4 = c_(4- 1) * 3 = c_3 * 3 = 18 * 3 = 54`

Thus, the value of `c_4 - c_2` is `54 - 6 = 48`.

Hopefully this helps!