Skip to main content

Powers and Geometric Sequences

  • Chapter
Why Math?

Part of the book series: Undergraduate Texts in Mathematics ((UTM))

  • 1373 Accesses

Abstract

What do pyramid clubs, hot cups of coffee, gambling outcomes, and inflation rates have in common? Consider the following specific problems.

  1. (a)

    If each recipient of a certain chain letter dutifully delivers copies of the same letter to just five other persons in 1 week, how many people will be involved in the first 8 weeks?

  2. (b)

    A cup of coffee in a room where the temperature is 70°F cools from 190°F to 130°F in 6 minutes. How much longer will it take to cool down to 85°F?

  3. (c)

    Assume you have $100 for gambling at the roulette wheel, and at each spin of the wheel you bet half the money you then have on red, which is an “even-money” bet. Thus you win or lose the amount of your bet. If you win 10 times and lose 10 times will you end up ahead or behind or even?

  4. (d)

    If the Consumer Price Index rises 1% per month for 12 months, what is its rise for the entire year?

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer Science+Business Media New York

About this chapter

Cite this chapter

Driver, R.D. (1984). Powers and Geometric Sequences. In: Why Math?. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1108-2_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-1108-2_6

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94427-2

  • Online ISBN: 978-1-4612-1108-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics