Answer:
The sequence is:
10, 30, 50, 70, 90.....................
Step-by-step explanation:
We have,
First term (a) = 10
Common difference (d) = ?
Sum of first 5 terms (
) = 250
or, ![\frac{n}{2} [{2a+(n-1)d}] = 250](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B2%7D%20%5B%7B2a%2B%28n-1%29d%7D%5D%20%3D%20250)
or, ![\frac{5}{2} [2*10 + 4d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%5B2%2A10%20%2B%204d%5D%3D250)
or, ![\frac{5}{2} * 4[5+d]=250](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D%20%2A%204%5B5%2Bd%5D%3D250)
or, 10(5 + d) =250
or, 5 + d = 25
∴ d = 20
Now,
2nd term = a + d = 10 + 20 = 30
3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50
4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70
5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90
Answer:
{ x | x ≥ 0 }
Step-by-step explanation:
Given,
There is a straight line started from (0, 9) and passes through (8, 1),
∵ In the coordinate plan, the values of x are arranged in increasing order to the right side of the y-axis,
Thus, the line is defined for all real values of x greater than 0,
Hence, Domain of the line = All real numbers greater than equal to 0,
i.e. { x | x ≥ 0 }
Thus, FIRST OPTION is correct.
Answer:
25
Step-by-step explanation:
subtract 8 from each side of the equation
2h=50
divide both sides by 2
h=25
The sum of fourteen and seventeen subtracted from thirty five
Answer:r=7/7744
move all terms to the left:
(7/22)(44)-(2r)=0
add all the numbers together, and all the variables
-2r+(+7/22)44=0
multiply parentheses
-2r+7/22*44=0
multiply all the terms by the denominator
-2r*22*44+7=0
multiply elements
-1936r*4+7=0
multiply elements
-7744r+7=0
move all terms containing r to the left, all other terms to the right
-7744r=-7
r=-7/-7744
