<span>The sum of the first 35 numbers in the arithmetic series </span>124 + 133 + 142 + 151 + ⋯ is 9695. The correct answer between
all the choices given is the fourth choce or letter D. I am hoping that this
answer has satisfied your query about and it will be able to help you.
Answer:
If given the slope and a point, use the point-slope form.
If given the slope and the y-intercept, use the slope-intercept form.
Answer:
f(x + 1) = -(3/4)*f(x)
(second option)
Step-by-step explanation:
Here we have the sequence:
64, -48, 36, -27, ...
First, we can notice two things:
Each term has a different sign than the previous term, so the relation is something like:
f(x + 1) = -k*f(x)
Now to find the value of k, we can just replace some of the values (for example, the first and the second one)
-48 = -k*64
48/64 = k
3/4 = k
Now, if we use any pair of consecutive terms we should get the same value of k, now let's try to use the second and third terms to see if we get the same value of k:
36 = -k*(-48)
36 = k*48
36/48 = k
3/4 = k
We got the same value, so we can conclude that k = (3/4)
Then the relation that describes this sequence is:
f(x + 1) = -(3/4)*f(x)
Given:
Total number of marbles in the bag = 150
There are 21 blue marbles for every 4 white marbles.
To find:
The number of blue marbles in the bag.
Solution:
Since, there are 21 blue marbles for every 4 white marbles, therefore the ratio of blue marble to white marbles is 21:4.
Let the number of blue marbles be 21x and white marbles be 4x.
Total number of marbles in the bag = 150
Divide both sides by 25.
Now,
Therefore, the number of blue marbles is 126.
Solution
Given the function below
Where
Also recall that the contangent formula is
Thus;
From the above deduction,
sinθ is the denominator,
Hence, the domain of validity is defined for the set of real numbers except for sinθ = 0
