We are asked to determine the next numbers in the given sequence such as 5 10 3 15 20 13 25 30. In order for us to answer this problem, we need to find the difference between the two consecutive number and perform subtraction such as shown below:
For 5 and 10, the difference is -5
For 10 and 3, the difference is 7
For 3 and 15, the difference is -12
For 15 and 20, the difference is -5
For 20 and 13, the difference is 7
For 13 and 25, the difference is -12
For 25 and 30, the difference is -5
Now, we can identify the next two numbers in the sequence since we already know that the format of the difference is -5, 7 and -12. So the next numbers are the following:
30 - 7 = 23
23- (-12) = 35
Therefore, the sequence is 5 10 3 15 20 13 25 30 23 35
Answer:
x =15 + 30n
Step-by-step explanation:
8cos(12x)+4=-4
Subtract 4 from each side
8cos(12x)+4-4=-4-4
8cos(12x)=-8
Divide by 8
8/8cos(12x)=-8/8
cos(12x) = -1
Take the arccos on each side
arccos(cos(12x)) = arccos(-1)
12x = 180 degrees
But we can go around in a circle of 360 and get the same result
12 x = 180+360n where n is an integer
Divide each side by 12
x = 180/12 +360n/12
x =15 + 30n
The answer C.
Since the common ratio is 2
You just need to multiply each number with two to get the next number
14x2=28
28x2=56
56x2= 112
Answers with Explanation.
i. If we raise a number to an exponent of 1, we get the same number.

ii. If we raise 10 to an exponent of 2, it means we multiply 10 by itself two times.

iii. If we raise 10 to an exponent of 3, it means we multiply 10 by itself three times.

iv. If we raise 10 to an exponent of 4, it means we multiply 10 by itself four times.

v. If we raise 10 to an exponent of 5, it means we multiply 10 by itself five times.


vi. Recall that,

We apply this law of exponents to obtain,

vii. We apply

again to obtain,