# 11.5.3. Arithmetic Sequence

If the arithmetic mean between and is 24, find .

Show SolutionFind the next four terms of the arithmetic sequence represtented by the figure below.

- A
- B
- C
- D

In the arithmetic sequence , find .

Show SolutionGiven that , determine whether the arithmetic sequence is increasing or decreasing.

- Adecreasing
- Bincreasing

In the sequence , find .

Show SolutionIn a sequence , where , find .

Show SolutionDetermine whether the arithmetic sequence is decreasing or increasing.

- Aincreasing
- Bdecreasing

In the arithmetic sequence , find the number of its terms.

Show SolutionIn the arithmetic sequence , determine the tenth term from the end.

Show SolutionIf the tenth and fifteenth terms of an arithmetic sequence are 25 and 40 respectively, determine the common difference and the value of the first term.

- AThe common difference is 3, and the first term is .
- BThe common difference is 15, and the first term is 25.
- CThe common difference is 3, and the first term is 55.
- DThe common difference is 13, and the first term is 11.

Determine the term of an arithmetic sequence whose ninth and sixteenth terms are and respectively.

- A
- B
- C
- D

If the sixth term of an arithmetic sequence is 46, and the sum of its third and tenth terms is 102, determine its term.

- A
- B
- C
- D

Given that the general term of an arithmetic sequence is , find the base of the sequence.

Show Solution