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.
Fill in the blank: If the first term of an arithmetic sequence equals 16 and , then the fifth term equals .
Find, in terms of , the general term of the arithmetic sequence .
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.
|Value of Term||19||22||25||28|
- A, 22
- B, 54
- C, 24
- D, 55
- E, 53
Find in the arithmetic sequence .
Find the general term of the arithmetic sequence which satisfies the relations and .
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, ,
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
Find and the number of terms in the arithmetic sequence .