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
Are you trying to find x? send the whole question xoxo
Answer:
4xy + 6x
Step-by-step explanation:
2xy + 2x + 4x + 2xy
combine like terms:
4xy + 6x
Answer:
Step-by-step explanation:
Kristin has 3 2/3 yards of plaid ribbon. Converting 3 2/3 yards to improper fraction, it becomes 11/3 yards of plaid ribbon.
She has 2 5/6 yards of polka - dot ribbon. Converting 2 5/6 yards to improper fraction, it becomes 17/6 yards of polka - dot ribbon.
The total number of yards of ribbon that Kristin has would be
11/3 + 17/6 = (22 + 17)/6 = 39/6 yards of ribbon.
Converting to decimal, it becomes 6.5 yards of ribbon. Approximating 6.5 to the nearest yards, it becomes 7 yards. This is because the first digit after the decimal point is 5 and thus, can be rounded up
