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×

step-by-step explanation:

for the free

third choice down

step-by-step explanation:

the first inequality is based on the number of adults and campers, and the second inequality is based on the cost of feeding both the adult and the camper.

we know that there is room for 525 people max.   it's ok to have less than 525, but it's not ok to have more than 525, so the inequality is less than or equal to.   the number combination of adults (x) and campers (y) cannot exceed this 525 max.   therefore:

x + y ≤ 525

now we talk about cost.   it costs $9 to feed one adult, so depending upon the number of adults you have (x) depends upon how much it will cost to feed that number of adults.   same with the campers, who cost $5 to feed.   the adults can be represented by 9x and the campers can be represented by 5y.   since the budget cannot exceed 1,200, the second inequality is:

9x + 5y ≤ 1200