Question

the formula an=1.5 (an-1) with an initial value of 40 describes a sequence. Use the explicit formula to determine the 5th term of the sequence.

Answer 1

$\text{If } a_n=1.5(a_n-1) \text{ this is a geometric sequence with a ratio of 1.5. The first term is 40. }a_n=40(1.5)^{n-1},\ a_5=40(1.5)^4=202.5$