Write a rule for the n th term of the sequence for which az = 4 and r= 2.
=

Step-by-step explanation:

The general form for a geometric sequence is:

a

n

=

a

1

⋅

r

n

−

1

With this, you can write a system of equations:

a

2

=

a

1

⋅

r

2

−

1

a

5

=

a

1

⋅

r

5

−

1

2

=

a

1

⋅

r

1

0.25

=

a

1

⋅

r

4

r

4

r

1

=

0.25

2

r

3

=

0.125

r

=

0.5

Now, find the first term.

a

2

=

a

1

⋅

0.5

1

2

=

a

1

⋅

0.5

a

1

=

4

Using the formula stated above, we get:

a

n

=

4

⋅

0.5

n

−

1

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )