Question

If r = 4 and a6 = 192, what is the first term of the sequence?

Answer 1

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)×$r^{n-1}$

                         A(6) = $A(1)(r)^{6-1}$

                          192 = $A(1)4^{5}$

                           A(1) = $\frac{192}{4^{5} }$

                                 = 192/1024

                                 =0.1875

So the first term of the sequence will be 0.1875