bm42400
contestada

If r = 4 and a6 = 192, what is the first term of the sequence?
a.
1.875
b.
18.75
c.
0.1875
d.
187.5


Please select the best answer from the choices provided

a) A
b) B
c) C
d) D

Respuesta :

Answer:

Answer: Option c. 0.1875 is the first term of the sequence.

Step-by-step explanation:

In this question sixth term of a sequence is given as A(6)= 192

Ratio of terms is given as 4

And we have to calculate the first term of the sequence.

As per formula A(n) = A(1)×[tex]r^{n-1}[/tex]

                         A(6) = [tex]A(1)(r)^{6-1}[/tex]

                          192 = [tex]A(1)4^{5}[/tex]

                           A(1) = [tex]\frac{192}{4^{5} }[/tex]

                                 = 192/1024

                                 =0.1875

So the first term of the sequence will be 0.1875