This is an arithmetic series,
so
S(n) = (n/2)*(a(1)+a(n))
S(25) = (25/2)*(a(1)+a(25))
n=25
a(n) = 3n-2
a(1)= 3*1-2=1
a(1)=1
a(25) = 3*25-2=75-2=73
a(25)=73
S(25) = (25/2)*(1+73)=(25/2)*74=925
S(25)=925
Answer : 925
Answer:
x= 0.083 y = 0.5
Step-by-step explanation:
step 1:
equation 1: 6x -y
equation 2 : 4y = 2
from equation (2) 4y = 2, we calculate value of y to get x
4y = 2 ... divide both sides by 4
<u>4y </u>= <u>2</u>
4 4 y = 1 /2. y = 0.5
Step 2:
input the value of y into the equation 1 to get x.
6x - y = 0
6x - 0.5 = 0
6x- 0.5 + 0.5 = 0 + 0.5 ( Add both sides of the equation by 0.5)
6x = 0.5.... divide both sides of the term by 6
<u>6x </u>= 0.5
6 6
x = 0.083
therefore, y = 0.5 and x = 0.0833
Divide the diameter by 2 to get the radius and then plug into cone volume pi*r^2*h/3 which is a bit under 160 so the answer is A