Answer: The explicit rule for the geometric sequence is:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
Solution:
a1=2/5
an=5 (an-1)
n=2→a2=5 (a2-1)= 5 (a1)= 5 (2/5)→a2= (2/5) (5)
n=3→a3= 5 (a3-1)= 5 (a2)= 5 [(2/5) (5)]=(2/5) (5)^(1+1)→ a3=(2/5) (5)^2
n=4→a4= 5 (a4-1)= 5 (a3)= 5 [(2/5) (5)^2]= (2/5) (5)^(2+1)→ a4=(2/5) (5)^3
a1=2/5=(2/5) (1)=(2/5) (5)^0→a1=(2/5) (5)^(1-1)
a2=(2/5) (5)=(2/5) (5)^1→a2=(2/5) (5)^(2-1)
a3=(2/5) (5)^2→a3=(2/5) (5)^(3-1)
a4=(2/5) (5)^3→a4=(2/5) (5)^(4-1)
Then:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
Y = 3/4x - 5/2...subtract 3/4x from both sides
-3/4x + y = -5/2....multiply both sides by -4
3x - 4y = 10 <===
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x + 4y = 12....subtract x from both sides
4y = -x + 12...divide both sides by 4
y = 1/4x + 3 <==
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y = 1/2x.....this will be going thru the origin (0,0)....so start at (0,0)...and since it has a slope of 1/2, go up 1 space and to the right 2 spaces...plot that point...then up 1 and to the right 2...plot that point...keep doing this....and then just connect ur plotted points and u will have ur line
Answer:
c = 12
Step-by-step explanation:
c = 14 - 2
