Sequences and Series Review

It is a sequence wherein the terms are generated by adding a constant number called common difference.

• Arithmetic Sequence

• Fibonacci Sequence

• Geometric Sequence

• Harmonic Sequence

Which of the the following are examples of arithmetic sequence?

What is the common difference of the arithmetic sequence 18,24,30,36, ...?

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the common difference?

If the third term of an arithmetic sequence is 13 and the 9th term is 37, what is the first term?

It is the number to be added to generate the next term in an arithmetic sequence.

• common difference

• first term

• last term

• number of terms

Write the explicit rule for this situation.

• f(n) = 35 + 3(n − 1)
• f(n) = 35 −3(n − 1)
• f(n) = 3 + 35(n − 1)
• f(n) = −3 + 35(n − 1)

Write the recursive rule for this situation.

• f(n) = f(n − 1) + 58, n ≥ 2
• f(n) = 58 + 7(n − 1)
• f(n) = 58 − 7(n − 1)
• f(n) = f(n − 1) + 7, n ≥ 2

What is the common difference?

• −16
• 84
• 16
• 0