Series and sigma notation, and the sum of an arithmetic series
Grade 11 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
After row 11, 154; after row 12, 186; after row 30, 1275. Pia wants the sum of rows 12 to 30 of a(k) = 3k − 4, using the running totals shown. What is that sum?
After row 7, 105; after row 8, 128; after row 25, 825. Ren wants the sum of rows 8 to 25 of a(k) = 2k + 7, using the running totals shown. What is that sum?
After row 9, 243; after row 10, 295; after row 24, 1548. Tala wants the sum of rows 10 to 24 of a(k) = 5k + 2, using the running totals shown. What is that sum?
Zee works out Σ from k = 6 to 30 of (45 − 2k) for math club. What is the sum?
Ari works out Σ from k = 3 to 24 of (60 − 4k) for math club. What is the sum?
A hall's first row has 18 seats, each row has 2 more than the row before, and the last row has 52. How many seats does Esme count in all?
Jun builds a can display. The top row has 3 cans, each row below has 1 more, and the bottom row has 15. How many cans are in the display?
Milo's school hall has 15 rows and 525 seats. Row 1 has 21 seats, and each row has the same number more than the row before. How many seats are in the last row?
A can display has 11 rows and 99 cans. The top row has 4 cans, and each row below has the same number more. How many cans does Noah put in the bottom row?
Pia's grandparents put $900 into a savings fund over 12 weeks, adding the same amount more each week. Week 1 was $20. How many dollars went in during week 12?