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Math Fun: Exploring Arithmetic Sequences and Sums in Pre-Calculus

Join us for another exciting day of Pre-Calculus as we dive into the world of Arithmetic Sequences and Partial Sums. Learn how to find the formula for the nth term, explore sequences with common differences, and tackle challenging homework problems. From basic concepts to advanced calculations, this session will enhance your understanding of arithmetic sequences and series. Don't miss out on the opportunity to sharpen your math skills and enjoy the thrill of problem-solving!

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Math Fun: Exploring Arithmetic Sequences and Sums in Pre-Calculus

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  1. SFM Productions Presents: Another fun day of Pre-Calculus excitement! 9.2 Arithmetic Sequences and Partial Sums

  2. Homework for section 9.2 p657 #7-13, 19, 21, 25-29, 35, 37, 47-73, 83-87, 93, 95.

  3. Arithmetic Sequence: a sequence whose consecutive terms have a common difference.

  4. Figure out the formula for the nth term… d=?

  5. Figure out the formula for the nth term… d=?

  6. Figure out the formula for the nth term… d=?

  7. Arithmetic Sequences have the form: Find the formula for the nth term of an arithmetic sequence where d = 3, and a1 = 2 an = 3n-1

  8. Try this: The 4th term of an arithmetic sequence is 20, the 13th term is 65. What are the first 8 terms of the sequence? 5, 10, 15, 20, 25, 30, 35, 40

  9. Try this: Find the 9th term of an arithmetic sequence that begins with 2 and 9. 58

  10. Sum of a Finite Arithmetic Series… Add up the first 10 odd numbers……

  11. Find the 150th partial sum of: 5, 16, 27, 38, 49…… 123675

  12. An object with negligible air resistance falls out of a extraterrestrial spaceship buzzing the locals somewhere in the heart of Texas... If the object falls 4.9 meters in the first second, 14.7 meters in the second second, 24.5 meters in the third second, and so on, how far will the object fall in the 6th second? In 6 seconds?

  13. An auditorium has 20 rows of seats. There are 20 seats in the first row, 21 in the second, 22 in the third, and so on. How many seats are there in total? 590

  14. Go! Do!

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