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Sequences and Sums: Arithmetic & Geometric Sequences, Factorials, Predicting Prices, Recursive Definitions

Learn about arithmetic and geometric sequences, factorials, using sigma notation for sums, predicting prices, and writing recursive definitions.

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Sequences and Sums: Arithmetic & Geometric Sequences, Factorials, Predicting Prices, Recursive Definitions

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  1. Sequences And Series Arithmetic Sequences Geometric Sequences Arithmetic Sums Geometric Sums 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. Write the first five terms of the sequence

  3. Simplify the ratio of factorials

  4. Use sigma notation to write the sum

  5. The average price of a loaf of bread n years after 1950 is approximated by the sequenceUse the sequence to predict the price of a loaf of bread in 2001.

  6. $2.18

  7. Give a recursive definition for the sequence.1, 3, 5, 7, 9, …

  8. Write the first five terms of the arithmetic sequence.

  9. Is the following sequence arithmetic? If so, state the common difference -16, -9, -2, 5, …

  10. YES d = 7

  11. Find a nth term formula for the arithmetic sequence 4, 9, 14, 19, 24, …

  12. Find a nth term formula for the arithmetic sequence

  13. Write the first five terms of the arithmetic sequence

  14. 200,190,180,170,160

  15. Write the nth term of the geometric sequence.

  16. Find the nth term of a geometric sequence.

  17. Find the 9th term of the geometricsequence7, 21, 63, …

  18. Find the nth term formula of the geometric sequence.

  19. Find the 6th term of the geometric sequence.

  20. Find the partial sum.

  21. Find the indicated nth partial sum of the arithmetic sequence.

  22. 1005

  23. Find the 50th partial sum ofthe following arithmetic sequence

  24. Each row in small auditorium has two more seats than the preceding row. Find the seating capacity of the auditirium if the front row seats 25 people and there are 15 rows of seats.

  25. Find the sum of multiples of 6 between 1 and 100

  26. 816

  27. Find the sum of the finite geometric series.

  28. Find the sum.

  29. A woman made $35,000 during the first year of her new job at city hall. Each year she received a 10% raise. Find her TOTAL earnings during the first eight years on the job.

  30. $400,256.08

  31. Find the sum of the infinite geometric series.

  32. Find the sum of the infinite geometric series.

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