Arithmetic Sequence and Monomials

A sequence can be generated by using a_n = a_{(n − 1)} + 10, where a₁ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?

• 33, 43, 53, 63, 73

• 23, 33, 43, 53, 63

• 23, 230, 2300, 23000, 230000

• 23, 13, 3, −7, −17

Using this explicit rule a_{n = 2n + 5, write the first four terms in the sequence.}

• 7, 9, 11, 13

• 5, 7, 9, 11

• 7, 5, 3, 1

• 5, 3, 1, −1

What is the common difference?

• −16

• 84

• 16

• 0

Write the explicit rule for this situation in simplified form.

• f(n) = −8n + 60

• f(n) = 8n + 44

• f(n) = −8n + 52

• f(n) = f(n − 1) − 8

Which of the following is the common difference of the arithmetic sequence 4, 7, 10, 13, …?

• 0

• 1

• 2

• 3

What is the common difference in the sequence: -4, 3, 10, 17,, …?

• 1

• -7

• 7

• -1

Which term of the arithmetic sequence 4,1,-2,-5......is -29?

• 9th term

• 10th term

• 11th term

• 12th term

The first term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence.

• 7

• 6

• 5

• 3

Find p so that the numbers 7p +2,5p +12,2p-1,....form an arithmetic sequence.

• -23

• -13

• -5

• -8

Which term of the arithmetic sequence 5,9,13,17,.....is 401?

• 99th term

• 100th term

• 111th term

• 112 term