Lesson Worksheet: Using Arithmetic Sequence Formulas Mathematics • 9th Grade
In this worksheet, we will practice writing explicit and recursive formulas for arithmetic sequences to find the value of the 𝑛th term in an arithmetic sequence and finding a term’s order given its value.
Q1:
Fill in the blank: If the first term of an arithmetic sequence equals 16 and , then the fifth term equals .
Q2:
Find, in terms of , the general term of the arithmetic sequence .
- A
- B
- C
- D
- E
Q3:
Using the table, determine the expression that represents the value of each term as a function of its position. Then, find the value of the eighteenth term in the sequence.
| Position | 6 | 7 | 8 | 9 | |
|---|---|---|---|---|---|
| Value of Term | 19 | 22 | 25 | 28 |
- A, 22
- B, 54
- C, 24
- D, 55
- E, 53
Q4:
Find in the arithmetic sequence .
- A
- B
- C
- D
Q5:
Find the general term of the arithmetic sequence which satisfies the relations and .
- A
- B
- C
- D
- E
Q8:
Find the first three terms in the sequence which has general term and . Then find the order of the term whose value is 157 and the order of the first term whose value is more than 100.
- A, ,
- B, ,
- C, ,
- D, ,
Q9:
Find the term of the arithmetic sequence given that and . Then find the position and value of the first negative term in the sequence.
- A, 7, 5
- B, 7,
- C, 8,
- D, 8, 5
Q10:
Find and the number of terms in the arithmetic sequence .
- A
- B
- C
- D
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