Series and sigma notation, and the sum of an arithmetic series

Answer Key - Grade 11 Math Worksheet

Circle the best answer, or write your answer on the line.

1. 1.

   Kira works out 6 + 10 + 14 + … + 86 on a math club card. What is the sum?

   966
2. 2.

   Luz works out 3 + 8 + 13 + … + 93 on a math club card. What is the sum?

   912
3. 3.

   Milo works out 11 + 14 + 17 + … + 71 on a math club card. What is the sum?

   861
4. 4.

   Noah works out -9 + (-5) + (-1) + … + 63 on a math club card. What is the sum?

   513
5. 5.

   Tala works out Σ from k = 3 to 18 of (2k + 5) on the class board. What is the sum?

   416
6. 6.

   Ari's school hall has 16 rows. Row 1 has 20 seats, and each row has 2 more than the row before. How many seats are in the hall?

   560
7. 7.

   Bo stacks cans for a food drive in 10 rows. The top row has 3 cans, and each row below has 1 more. How many cans are in the stack?

   75
8. 8.

   Esme's grandparents put $15 into a savings fund in week 1, then $5 more each week than the week before. How many dollars are in the fund after 12 weeks?

   510
9. 9.

   An outdoor theater has 18 rows. Row 1 has 24 seats, and each row has 3 more than the row before. How many seats does Jun count in all?

   891
10. 10.

    Milo writes 9 + 11 + 13 + … + 47 in sigma notation. Which one is right?

    • Σ from k = 9 to 47 of k
    • Σ from k = 1 to 19 of (2k + 7)
    • Σ from k = 1 to 47 of (2k + 7)
    • Σ from k = 1 to 20 of (9k + 2)
    • Σ from k = 1 to 20 of (2k + 7)