Sequences and Series

Which of the the following are examples of arithmetic sequence?

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

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

Complete the Table.

• 25, 32, 39, 46
• 7, 32, 57, 82
• 32, 39, 46, 53
• 7, 14, 21, 28

Find S_n for the given series: a₁=22 d=-8 n=21

Use the summation of arithmetic sequence (8.2)

• 1911
• -1449
• -2436
• -1218

Find S₁₄  7, 2, -3, ...

use 8.2 (summation formula)

• -812
• 119
• -945
• -357

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71