A problem on geometric sequence

If a sequence of values follows a pattern of multiplying a fixed amount (not zero) times each term to arrive at the following term, it is referred to as a geometric sequence. The number multiplied each time is constant .

The fixed amount multiplied is called the common ratio, r, referring to the fact that the ratio (fraction) of the second term to the first term yields this common multiple. To find the common ratio, divide the second term by the first term.

Let's a example on this.

Question:-

What is the next term in the geometric sequence 16,-4,1,-1/4

Answer:-

given terms 16,-4,1,-1/4

first term = a =16

common ratio=r= t2/t1

r = -4/16 = -1/4

5 th term =r5=a*r^5-1

= 16*(-1/4)⁴

=16*(1/256)

= 1 / 16 is the answer

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Find the equation of a line

Topic:- equation of a line

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
If you know two points that a line passes through, this page will show you how to find the equation of the line.

The equation of a line point slope form

(y-y1) = m (x-x1)
This math help gives you a example roblem ...

Question:-

Find the equation of a line point slope form for (4,10)and the slope of the line is 3.

Answer:-

 let us assume

  ( 4 , 10 )
   x1   y1

 and  slope m=3


The equation of a line point slope form

 (y-y1) = m (x-x1)

Substitute the values

( y -10 ) =  3 ( x -4 )
 

   y-10 = 3x-12
    +10     +10
----------------------
     y  = 3x-2

So y=3x-2 is the Answer.

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