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)
Answer:
Step-by-step explanation:
m=1, (10,5)
y=mx+b
5=1(10)+b
5=10+b
b=-5
y=x-5
Answer:
-6
Step-by-step explanation:
-6 represents alexis position after she walks to her car.
the integer 0 represents the location of the ground floor!
hope this helped! <3
Answer:
The frame will be 4 inches in width
Step-by-step explanation:
The length of the outside is 24+2x
The width of the outside is 20+2x
(24+2x)(20+2x) - 20(24) = 416
480 + 40x + 48x + 4x2 - 480 = 416
4x2 + 88x - 416 = 0
x2 + 22x - 104 = 0
(x+26)(x-4) = 0
x = -26 or x=4
The frame will be 4 inches in width
