Given:
The sequence is -8, -12, -16.
To find:
The nth and 52th term of the given sequence.
Solution:
We have,
-8, -12, -16
It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is
The nth term of an AP is
Where, a is first term and d is common difference.
Putting a=-8 and d=-4, we get
Putting n=52, we get
Therefore, the equation for the nth term of the given sequence is and the 52nd term of the sequence is -212.
Equation of the circle is (x - 6)² +(y-7)² = 4.
<h3>What is a Circle ?</h3>A figure having round shape and all the points lie on the same plane is called a circle.
Equation of a circle can be formed using centre of the circle and radius of the circle.
(x-h)² +(y-k)² = r²
where (h,k) is the vertex and 'r' is the radius.
From the given graph the centre of the circle is at (6,7)
and radius of the circle is 2 units
(h,k) is (6,7)
and r= 2
Substituting all the values
The equation of the circle
(x - 6)² +(y-7)² = 2² = 4
Equation of the circle is (x - 6)² +(y-7)² = 4
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