Find the seventh term of the sequence 40, 0.4, 0.004, a. 4x10^-7 b. 0.00004 c. 4x10^-9 d. 4x 10^-11 select the best answer from the choices provided a) a b) b c) c d) d

Option d.  4×

Step-by-step explanation:

In any sequence where ratio of the terms is given we always use the formula

A(n) = A(1)

Here A(n) is the term n

A(1) is the first term

n= number of trms

and r = ration of the terms

Here the given sequence is 40,0.4,0.004........

So A(1) = 40

Ratio 'r' of second and first term is =0.4/40=1/100

We have to find 7th term so n=7

Now we put the values in the formula

A(7) =

        =

        =

        = 40×

        = 4×

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3