CPM Homework Help : A2C Problem 11-74

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Home > A2C > Chapter 11 > Lesson 11.2.3 > Problem 11-74

11-74.

A sequence starts 24, 12, … Use that information to complete parts (a) and (b) below. Homework Help ✎
1. If the sequence is arithmetic:
  1. Find t(3).
  2. Find t(n).
  3. What is the shape of its graph?
  4. Which term is −624?
2. If the sequence is geometric:
  1. Find t(3).
  2. Find t(n).
  3. What is the shape of its graph?
  4. Which term is

Hint (a-i):

Add (or subtract) the same amount again.

Answer (a-ii):

t(n) = 36 − 12n

Hint (a-iii):

Try graphing the sequence as a function.

Hint (a-iv):

Substitute −624 for t(n) and solve for n.

Hint (b-i):

Multiply (or divide) by the same amount again.

Answer (b-ii):

$t(n)=48\left(\frac{1}{2}\right)^{n}$

Hint (b-iii):

Try graphing the sequence as a function.

Hint (b-iv):

$\text{Substitute }\frac{3}{128}\text{ for } t(n)\, \text{and solve for n.}$

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