Answer: The first 6 terms are = 8, 10, 12,14,16,18
Step-by-step explanation:
The NTH term of an Arithmetic Sequence is given as
an = a1 + (n - 1 ) d
where a1 = First term given as 8 and
d= common difference given as 2
Therefore We have that
the first term
an = a1 + (n - 1 ) d = 8+(1-1) 2
a1= 8
second term=
an = a1 + (n - 1 ) d= a2= 8 + (2-1) 2
= 8+ 2(1) = 10
3rd term
an = a1 + (n - 1 ) d= a3= 8 + (3-1) 2
= 8+ 2(2)= 8 + 4=12
4th term
an = a1 + (n - 1 ) d= a4= 8 + (4-1) 2
= 8+ 2(3)= 8+6=14
5th term
an = a1 + (n - 1 ) d= a5= 8 + (5-1) 2
= 8+ 2(4)=8+ 8=16
6th term
an = a1 + (n - 1 ) d= a6= 8 + (6-1) 2
= 8+ 2(5)=8 +10 =18
11 cups of strawberries ... 6 pitchers of juice
x cups of strawberries = ? ... 1 pitcher of juice
If you would like to know what is the number of cups of strawberries in each pitcher, you can calculate this using the following steps:
11 * 1 = 6 * x
11 = 6 * x /6
x = 11/6
x = 1 5/6 cups of strawberries
Result: You will need 1 5/6 cups of strawberries in each pitcher.
11^2 + 9^2 = x^2
121 + 81 = x^2
202 = x^2
14.21 = x
The answer is 14.21
Answer:
I do not think I can answer this without any pictures.
Step-by-step explanation:
Sorry, but could you attach a link or maybe sketch it out?
The slope of a function at a point is the value of its derivative there.
... f'(x) = 5·(2x) + 0 = 10x . . . . . . using the power rule: (d/dx)(xⁿ) = n·xⁿ⁻¹
Then
... f'(4) = 10·4 = 40 . . . . . the slope at x=4
