Question

Tell whether the sequence is arithmetic. If it​ is, identify the common difference.


-5, 2, 9, 16, .......

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The sequence is arithmetic and has a common difference of [ ]
  
The sequence is not arithmetic.

Answer 1

Find the second, fourth, and tenth terms of the sequence described by the rule.

A(n) = 13 + (n - 1)(12)

Answer 2

The sequence is arithmetic and has a common difference of 7.
A. The sequence is arithmetic and has a common difference of 7.

Answer 3

To find the second term, we substitute n = 2 into the equation:

A(2) = 13 + (2 - 1)(12)
A(2) = 13 + (1)(12)
A(2) = 13 + 12
A(2) = 25

Therefore, the second term of the sequence is 25.

To find the fourth term, we substitute n = 4 into the equation:

A(4) = 13 + (4 - 1)(12)
A(4) = 13 + (3)(12)
A(4) = 13 + 36
A(4) = 49

Therefore, the fourth term of the sequence is 49.

To find the tenth term, we substitute n = 10 into the equation:

A(10) = 13 + (10 - 1)(12)
A(10) = 13 + (9)(12)
A(10) = 13 + 108
A(10) = 121

Therefore, the tenth term of the sequence is 121.