Question

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

Answer 1

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

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)×
`r^(n-1)`

A(6) =
`A(1)(r)^(6-1)`

192 =
`A(1)4^(5)`

A(1) =
`(192)/(4^(5) )`

= 192/1024

=0.1875

So the first term of the sequence will be 0.1875