Answer:a
Step-by-step explanation:
the answer is a because it is
Answer:
1. sum of term = 465
2. nth term of the AP = 30n - 10
Step-by-step explanation:
1. The sum of all natural number from 1 to 30 can be computed as follows. The first term a = 1 and the common difference d = 1 . Therefore
sum of term = n/2(a + l)
where
a = 1
l = last term = 30
n = number of term
sum of term = 30/2(1 + 30)
sum of term = 15(31)
sum of term = 465
2.The nth term of the sequence can be gotten below. The sequence is 20, 50, 80 ......
The first term which is a is equals to 20. The common difference is 50 - 20 or 80 - 50 = 30. Therefore;
a = 20
d = 30
nth term of an AP = a + (n - 1)d
nth term of an AP = 20 + (n - 1)30
nth term of an AP = 20 + 30n - 30
nth term of the AP = 30n - 10
The nth term formula can be used to find the next term progressively. where n = number of term
The sequence will be 20, 50, 80, 110, 140, 170, 200..............
Answer:
1/25, 1/5, 1
Step-by-step explanation:
A new energy drink advertises 120 calories for 5 oz.
How many calories are in 15 oz?
We can set up a proportion to solve this problem
![\frac{120}{5}=\frac{x}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B15%7D)
Where x is the number of calories in 15 oz
Let us solve the above equation for x
![\begin{gathered} \frac{120}{5}=\frac{x}{15} \\ \frac{x}{15}=\frac{120}{5} \\ x=\frac{120}{5}\cdot15 \\ x=120\cdot3 \\ x=360 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B120%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B15%7D%20%5C%5C%20%5Cfrac%7Bx%7D%7B15%7D%3D%5Cfrac%7B120%7D%7B5%7D%20%5C%5C%20x%3D%5Cfrac%7B120%7D%7B5%7D%5Ccdot15%20%5C%5C%20x%3D120%5Ccdot3%20%5C%5C%20x%3D360%20%5Cend%7Bgathered%7D)
Therefore, there are 360 calories in 15 oz of drink.