Given:
The sequence is:
-15,-10,-4, 3, 11, ______
To find:
The next number.
Solution:
We have,
-15,-10,-4, 3, 11, ______
Here, the difference between two consecutive terms are:
Similarly,
It is clear that the difference difference between two consecutive terms is increasing by 1. So, the next difference must be (8+1)=9.
Let the next number be x. Then,
Therefore, the next number of the sequence is 20.
Answer:
x = -5 + √65/2 or
x = -5 - √65/2
Step-by-step explanation:
-2x² - 5x + 5 = 0
2x² + 5x - 5 = 0
Here,
a = 2
b = 5
c = - 5
Now,
Discriminant
<em><u>D = b² - 4ac</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em>= (5)² - 4(2)(-5)
= 25 + 40
= 65
<u>D = 65 > 0</u>
Then,
x = -b +-√b² - 4ac/2a
x = -5 +-√(5)² - 4(2)(-5)/2(2)
= -5 +-√25 + 40/4
= -5 +-√65/4
= -5 +-√65/2
<em><u>x = -5 + √65/2 or x = -5 - √65/2</u></em>
Answer:
The slope is 8
Step-by-step explanation:
This equation follows y=mx+b
m is the slope, x is the input, b is the y-intercept, and y is the output
Answer:
data and analysis djdjdjhdhd