Answer:
The required explicit formula is A(n)= 4-4n
10th term of arithmetic sequence is (-36)
Step-by-step explanation:
Given arithmetic sequence is 8,4,0,-4,-8......
The arithmetic sequence is given by a,a+d,a+2d.......a+(n-1)d
Comparing both the sequence we get,
a=8 and a+d=4
For value of d:
d+a=4
d=4-8=(-4)
The explicit formula is given by : A(n)= a+(n-1)d
A(n)= a+(n-1)d
A(n)= 8+(n-1)(-4)
A(n)= 8-4n+4
A(n)= 4-4n
Therefore, The required explicit formula is A(n)= 4-4n
To find value of 10 th term:
Take n=10 in explicit formula
A(10)= 4-4(10)
A(10)= -36
Therefore, 10th term is (-36)
Y=a(x−h)+s is the fully transformed equation.
A represents the amount of the vertical stretch
H represents the amount of translation to the right
S represents the amount of translation up
Answer:
x = 75 m
Step-by-step explanation:
This is a problem of similar triangles solved using proportions.
In similar triangles, corresponding side lengths are proportional.
Here the small and large triangles are similar because the have all three angles congruent.
By proportions, identifying corresponding sides,
x/45 = 50/30
solve for x
x = 45*(50/30) = 75 m
Try this solution:
1. Note, that 9*0.1=0.9; 0.9*0.1=0.09; 0.09*0.1=0.009, etc.
It means, the gives series is geometric sequence, where a₁=9, q=0.1.
2. Using a₁=9 and q=0,1 it is possible to calculate the sum of this sequence:
answer: 10
Answer:
Step-by-step explanation:
g(x) = 1/4(x - 4) (x - 8)
g(x) = 1/4(x^2 - 8x - 4x + 32)
g(x) = 1/4(x^2 - 12x + 32)
g(x) = 1/4x^2 - 3x + 8)
