Answer:
= 0.45
(b)
Step-by-step explanation:
= 5![a_{n-1}](https://tex.z-dn.net/?f=a_%7Bn-1%7D)
if n = 1 , the sequence becomes :
= 5![a_{0}](https://tex.z-dn.net/?f=a_%7B0%7D)
And it was given that the first term is 0.45 , therefore
= 0.45 , then:
= 5(0.45) = 2.25
= 5 (5)(0.45) = 11.25
= 5(11.25) = 56.25
Therefore, the common ratio will be 11.25/2.25 = 56.25/11.25 = 5
Recall the formula for nth term of a geometric sequence , which is given as
= a![r^{n-1}](https://tex.z-dn.net/?f=r%5E%7Bn-1%7D)
Substituting the value of a and r , we have
= 0.45
which is the nth term