Answer:
3) ,
Step-by-step explanation:
Given that the explicit rule for a sequence is .
Now we need to find about what is the recursive rule for the sequence and match with the given choices to find the correct choice.
1) ,
2) ,
3) ,
4) ,
Plug n=1 into given formula to get first term
base of the exponent part is (-2) so that means we need to multiply -2 to the previous term to get nth term
Hence correct choice is: 3) ,
Answer:
The equation of circle is .
Step-by-step explanation:
It is given that the circle passes through the point (8,1) and center at the origin.
The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).
Distance formula:
Using distance formula the radius of circle is
The standard form of a circle is
.... (1)
where, (h,k) is center and r is radius.
The center of the circle is (0,0). So h=0 and k=0.
Substitute h=0, k=0 and in equation (1).
Therefore the equation of circle is .
