Write the recursive rule of the sequence -9, -3, 3, 9,... .

1 answer:

7 0

The rule of the numbers are to add 6 therefore when -9 is added by 6 it becomes -3 and -3 take away 6 is 3 and then 3 plaza 6 is 9

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Mikel asked her father how old he is gues the father said I you add the digits that make my age this year you'll get a number th

Alexxx [7]

Answer:

For the sum of the digits of Michelle’s father to drop to 1/3 of its’ former value, the second digit must go from 9 to 0, in one year.

Thus, if he is 39 this year, the sum of the digits of his age will be 12. Next year, when the sum of the digits would be 4+0, or 4, then the digits of his age would be 1/3rd of their former value.

Therefore, he is 39, and will be 40 next year

Step-by-step explanation:

7 0

3 years ago

Determine whether the given sequence could be geometric, arithmetic, or neither. if possible, identify either the common ratio o

REY [17]

ARITHMETIC CHECK: A sequence is said to be arithmetic if any two consecutive terms differ by the same constant.

So, the test to check if a series is arithmetic is to compute consecutive differences, and see if they all return the same number.

If we subtract the first two terms, we have $2-4 = -2$ . If we subtract the third and second terms, we have $1-2 = -1$ .

These two differences returned two different values, so the series is not arithmetic.

GEOMETRIC CHECK: A sequence is said to be geometric if any two consecutive terms are in the same ratio.

So, the test to check if a series is geometric is to compute consecutive ratios, and see if they all return the same number.

If we divide the first two terms, we have

$\dfrac{2}{4} = \dfrac{1}{2}$

If we divide the third and second terms, we have

$\dfrac{1}{2} = \dfrac{1}{2}$

Finally, if we divide the last two terms we have

$\dfrac{\frac{1}{2}}{1} = \dfrac{1}{2}$

So, all ratios return the same number. This means that the series is geometric, and the common ratio is 1/2

7 0

3 years ago

2:x and 12:18 a-3, b-4, c-6

nirvana33 [79]

The Corrected Problem is :

2:x and 12:18 identify the value of x that makes each pair of ratios equivalent .

Solution:

If a pair of Ratios are equivalent then we can write

$\frac{2}{x}=\frac{12}{18}\\ \\ \text{Simplify we get}\\ \\ 12x=36\\ \\ \text{Divide both the sides by 12 we get}\ \\ \\ \frac{12x}{12}=\frac{36}{12}\\ \\ x=3\\ \\ \text{Hence the required value of x is 3}\\$