If the third term of the aritmetic sequence is 126 and sixty fourth term is 3725 then the first term is 8.
Given the third term of the aritmetic sequence is 126 and sixty fourth term is 3725.
We are required to find the first term of the arithmetic sequence.
Arithmetic sequence is a series in which all the terms have equal difference.
Nth term of an AP=a+(n-1)d
=a+(3-1)d
126=a+2d--------1
=a+(64-1)d
3725=a+63d------2
Subtract second equation from first equation.
a+2d-a-63d=126-3725
-61d=-3599
d=59
Put the value of d in 1 to get the value of a.
a+2d=126
a+2*59=126
a+118=126
a=126-118
a=8
=a+(1-1)d
=8+0*59
=8
Hence if the third term of the arithmetic sequence is 126 and sixty fourth term is 3725 then the first term is 8.
Learn more about arithmetic progression at brainly.com/question/6561461
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Answer:
the radius of the base of the cylinder is 5 cubic inches
Step-by-step explanation:
Answer:
1200/2000?
Step-by-step explanation:
You just put 1200 over 2000? the end?
Y=mx+b
m=(325-180)/(9-4)
m=145/5
m=29
y=29x+b, using point (4,180) we can solve for b
180=29(4)+b
180=116+b
64=b, so the line is:
y=29x+64
Now the standard form of a line is ax+by=c so:
-29x+y=64 (by convention the coefficient of x should be positive so)
29x-y=-64
...
We can use the point-slope form we found earlier...
f(x)=29x+64
...
This is just a line so you can use any two points to graph it.
Connect (1,93) to (2,122) and extend upward and to the right as far as you please. The x-axis should be labeled "days" and the y-axis as "dollars".
First we write equation for perimeter of rectangle. Why? because we have been given that it is 128 units and maybe we can calculate something from it.
P = 2a + 2b where
a = 2(3y + 1 ) and b = 2(2y +3)
P = 6y + 2 + 4y + 6 = 10y + 8 = 128
now we can solve for y
10y = 120
y = 12
Now we just express value of y in formula for finding lenght of VW and we got length
Answer is 37
