Half of the product of two consecutive numbers is 105. to solve for n, the smaller of the two numbers, which equation can be used? a.) n^2 + n – 210 = 0 b.) n^2 + n – 105 = 0 c.) 2n^2 + 2n + 210 = 0 d.) 2n^2 + 2n + 105 = 0

A

Step-by-step explanation:

Consecutive nnumbers are spaced 1 units apart.

Such as 4,5,6,...

or 12,13,14,...

Thus,

if smaller number is n, then the next number (consecutive) is n+1

Since, half of the product of them is 105, we can write the equation as:

We can do some algebra and make it in quadratic form as shown below:

Answer choice A is right.

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step-by-step explanation:

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.