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:
false
Step-by-step explanation:
it suppose to be -2 if you equate it to Zero
Answer:
9
Step-by-step explanation:
To find the slope of a line, calculate the distance between points with a ratio of vertical to horizontal distance. This is done using the formula:
Here the points are (-7,-2) and (-6,7). Substitute and simplify.
Answer:
Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft
Step-by-step explanation:
Amount of sausage links made on Friday morning = 8 ft
Amount of sausage links used on Friday night = 4 ft
Amount of sausage links remaining = 8 - 4 = 4ft (i)
Amount of sausage links made on Saturday morning = 8 ft (ii)
So,
Total amount of sausage links = 8 + 4 = 12 ft (from (i) and (ii) )
Amount of sausage links used on Saturday night = 12 ft
Amount of sausage links remaining = 12 - 12 = 0 ft
Net change in the amount of sausage Sal had from Friday morning until after dinner service Saturday night = 8 - 0 = 8 ft
