Arithmetic Series Formula Practice Problems
Solve each problem on paper then click the ANSWER button to check if you got it right.
Problem 1: Find the sum of the first [latex]300[/latex] natural or counting numbers.
Answer
[latex]\color{red}45,150[/latex]
Problem 2: What is the sum of the first 100 positive odd numbers?
Answer
[latex]\color{red}10,000[/latex]
Problem 3: What is the sum of the first 100 positive even numbers?
Answer
[latex]\color{red}10,100[/latex]
Problem 4: Find the sum of the first 64 terms of the arithmetic series below.
[latex]3 + 9 + 15 + 21 + …[/latex]
Answer
[latex]\color{red}12,288[/latex]
Problem 5: Find the sum of the first 50 terms of the arithmetic series below.
[latex] – 5 + \left( { – 8} \right) + \left( { – 11} \right) + \left( { – 14} \right) + …[/latex]
Answer
[latex]\color{red} – 3,925[/latex]
Problem 6: Find the partial sum of the arithmetic series below.
[latex]7 + 12 + 17 + 22 + … + 187[/latex]
Answer
[latex]\color{red}3,589[/latex]
Problem 7: Find the partial sum of the arithmetic series below.
[latex] – 8 – 11 – 14 – 17 – … – 113[/latex]
Answer
[latex]\color{red}-2,178[/latex]
Problem 8: The 15th term of the arithmetic sequence is [latex]33[/latex] and the 50th term is [latex]103[/latex]. What is the 79th partial sum of the arithmetic sequence?
Answer
[latex]\color{red}6,557[/latex]
Problem 9: The 7th term of the arithmetic sequence is [latex]-19[/latex] and the 13th term is [latex]35[/latex]. What is the 30th partial sum of the arithmetic sequence?
Answer
[latex]\color{red}1,725[/latex]
Problem 10: The 9th term of an arithmetic sequence is [latex]57[/latex] while its 18th partial sum is [latex]1,080[/latex]. Find the sum of the first 31 terms of the sequence.
Answer
[latex]\color{red}3,069[/latex]
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