# Worksheet: Finding the nth Term of an Arithmetic Sequence

Q1:

Find the next term in the sequence .

Q2:

Find the first term of an arithmetic sequence whose common difference is , where .

Q3:

Find the first term of an arithmetic sequence whose common difference is , where .

Q4:

Find the first term of an arithmetic sequence whose common difference is 8, where .

Q5:

Find the value of in an arithmetic sequence whose first term is 12, given that and .

Q6:

Find the value of in an arithmetic sequence whose first term is 41, given that and .

Q7:

Find the value of in an arithmetic sequence whose first term is 21, given that and .

Q8:

Find , given the arithmetic sequence , where .

Q9:

Find , given the arithmetic sequence , where .

Q10:

An arithmetic sequence has 11 terms. Which is the middle term?

• A
• B
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• D
• E

Q11:

An arithmetic sequence has 51 terms. Which is the middle term?

• A
• B
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• D
• E

Q12:

Find the common difference and first term of an arithmetic sequence given the tenth term is 25 and the fifteenth term is 40.

• AThe common difference is 15, and the first term is 25.
• BThe common difference is 13, and the first term is 11.
• CThe common difference is 3, and the first term is 55.
• DThe common difference is 3, and the first term is .
• EThe common difference is 3, and the first term is 1.

Q13:

Find the common difference and first term of an arithmetic sequence given the tenth term is 62 and the fifteenth term is 102.

• AThe common difference is 40, and the first term is 62.
• BThe common difference is , and the first term is .
• CThe common difference is 8, and the first term is 142.
• DThe common difference is 8, and the first term is .
• EThe common difference is 8, and the first term is .

Q14:

Find the number of terms in the arithmetic sequence .

Q15:

Find the number of terms in the arithmetic sequence .

Q16:

Find the number of terms in the arithmetic sequence .

Q17:

Find the number of positive terms in the arithmetic sequence .

Q18:

Find the number of positive terms in the arithmetic sequence .

Q19:

Find the order of the term whose value is 115 given the second term of an arithmetic sequence is , and the fifth term is 7.

• A
• B
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• D

Q20:

Find the order of the term whose value is 35 given the second term of an arithmetic sequence is 98, and the fifth term is 77.

• A
• B
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• D

Q21:

Find the order of the term in the arithmetic sequence .

Q22:

Find in the arithmetic sequence .

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• D

Q23:

Find in the arithmetic sequence .

• A
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• D

Q24:

Find the tenth term from the end of the arithmetic sequence .

Q25:

Find the tenth term from the end of the arithmetic sequence .