Here are the first four terms of a sequence: 3, 12, 48 and 192.
(a) Work out the common ratio for this sequence.
(b) Work out the nth term of this sequence.

Respuesta :

Answer:

look below

Step-by-step explanation:

The common ratio is 1:4 because we are multiplying the previous number by 4

The nth term for this sequence is quite simple. To find the nth term, take the base, 3, and multiply by the nth 4th. This can be written as 3*4^n+1

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

Answer:

see explanation

Step-by-step explanation:

the sequence is geometric and has common ratio r

(a)

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

(b)

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 3 and r = 4 , then

[tex]a_{n}[/tex] = 3 . [tex]4^{n-1}[/tex]

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE