Find the first term and the common difference of the arithmetic sequence whose 6th term is 30 and 12th term is 54.

6th term = 30

12th term = 54

First term

Common difference

We know that

For 6th term

For 12th term

On subtracting both

Now

Using 2

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

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