3 years ago

The nth term of a sequence is 33 - 5n a) Work out the first three terms of the sequence.

1 answer:

7 0

Answer : 28, 23, 18

To find the ‘nth term’ all you have to do is replace the variable ‘n’ in the equation with the number term you’re looking for.

In this case you’re looking for the first three terms, so you would replace n with the numbers 1, 2, and 3.

This gives you 28, 23, and 18.

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Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.

Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

$radius(r) = \sqrt{ {g}^{2} + {f}^{2} - c } \\ = \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } + {2}^{2} - 0 } \\ = \sqrt{ \frac{9}{4} + 4} \\ = \sqrt{ \frac{25}{4} } \\ = \frac{5}{2}$