Arithmetic Sequences

d = x

Find the common difference of the arithmetic sequence. 2x , 3x , 4x , 5x , ...

d = 2

Find the common difference of the arithmetic sequence. 5 , 7 , 9 , 11 , ...

d = -5

Find the common difference of the arithmetic sequence. 7 , 2 , -3 , -8 , ...

d = 3

Find the common difference of the arithmetic sequence. x + 1 , x + 4 , x + 7 , x + 10 , ...

108

If the 1st term of an arithmetic sequence is 27, and the 3rd term is 45, what is the 10th term ?

103

If the 2nd term of an arithmetic sequence is -3 , and the 4th term is 1, what is the 55th term ?

98

If the 3rd term of an arithmetic sequence is 13, and the 7th term is 33, what is the 20th term ?

93

If the 4th term of an arithmetic sequence is 15, and the 9th term is 30, what is the 30th term ?

-10

In a sequence, the first term is -50 and the common difference is 8. Find the sixth term of this sequence.

-17

In a sequence, the first term is 25 and the common difference is -7. Find the seventh term of this sequence.

16

In a sequence, the first term is 4 and the common difference is 3. Find the fifth term of this sequence.

19

In a sequence, the first term is 82 and the common difference is -21. Find the fourth term of this sequence.

a ( n ) = -2n - 1

Write an explicit formula for this arithmetic sequence. -3 , -5 , -7 , -9 , ...

a ( n ) = 4n - 11

Write an explicit formula for this arithmetic sequence. -7 , -3 , 1 , 5 , ...

a ( n ) = 1 + 7 ( n - 1 )

Write an explicit formula for this arithmetic sequence. 1 , 8 , 15 , 22 , ...

a ( n ) = -2n + 21

Write an explicit formula for this arithmetic sequence. 19 , 17 , 15 , 13 , ...

a ( n ) = 4n - 2

Write an explicit formula for this arithmetic sequence. 2 , 6 , 10 , 14 , ...

a ( n ) = 20 - 3 ( n - 1 )

Write an explicit formula for this arithmetic sequence. 20 , 17 , 14 , 11 , ...

d = 6

Find the common difference of the arithmetic sequence. -20 , -14 , -8 , -2 , ...

d = -4

Find the common difference of the arithmetic sequence. -3 , -7 , -11 , 15 , ...