# 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 $300$ natural or counting numbers.

$\color{red}45,150$

Problem 2: What is the sum of the first 100 positive odd numbers?

$\color{red}10,000$

Problem 3: What is the sum of the first 100 positive even numbers?

$\color{red}10,100$

Problem 4: Find the sum of the first 64 terms of the arithmetic series below.

$3 + 9 + 15 + 21 + …$

$\color{red}12,288$

Problem 5: Find the sum of the first 50 terms of the arithmetic series below.

$- 5 + \left( { - 8} \right) + \left( { - 11} \right) + \left( { - 14} \right) + …$

$\color{red} - 3,925$

Problem 6: Find the partial sum of the arithmetic series below.

$7 + 12 + 17 + 22 + … + 187$

$\color{red}3,589$

Problem 7: Find the partial sum of the arithmetic series below.

$- 8 - 11 - 14 - 17 - … - 113$

$\color{red}-2,178$

Problem 8: The 15th term of the arithmetic sequence is $33$ and the 50th term is $103$. What is the 79th partial sum of the arithmetic sequence?

$\color{red}6,557$

Problem 9: The 7th term of the arithmetic sequence is $-19$ and the 13th term is $35$. What is the 30th partial sum of the arithmetic sequence?

$\color{red}1,725$

Problem 10: The 9th term of an arithmetic sequence is $57$ while its 18th partial sum is $1,080$. Find the sum of the first 31 terms of the sequence.

$\color{red}3,069$