Use the explicit formula an = a1 + (n - 1). d to find the 300th term of the
sequence below.
57, 66, 75, 84, 93, ..
o a. 2748
o b. 2757
o c. 260,1
o d. 2784
submit

A. 2748

Step-by-step explanation: From the explicit formula: an= a1 + (n -1).d

an means number of terms we are looking for.

a1 means the first term of the arithmetic progression which is 57

d means common differences between the terms. I.e second term (a2)- first term(a1). 66-57=9

Substituting the values into the formulae.

a300= 57 +(300-1)9

a300= 57 +(299×9)

= 57 + 2691

a300 = 2748

2748

Step-by-step explanation:

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50.6

step-by-step explanation:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

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

tap for more

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