Given the following sequence, answer the questions below: 125, 100, 80, 64,.... (3 points) The starting value for the sequence is The common ratio is The fifth term is the sequence is

Answer 1

To analyze the given sequence: 125, 100, 80, 64, we will determine the starting value, the common ratio, and the fifth term.

1. Starting Value: The starting value for the sequence is the first term, which is 125.

2. Common Ratio: To find the common ratio, we will divide each term by the previous term:

   • From 125 to 100:
     \[ \frac{100}{125} = 0.8 \]

   • From 100 to 80:
     \[ \frac{80}{100} = 0.8 \]

   • From 80 to 64:
     \[ \frac{64}{80} = 0.8 \]

   The common ratio is 0.8.

3. Fifth Term: To find the fifth term, we can continue applying the common ratio to the last term we have (64):

   • Fourth term (64) to fifth term:
     \[ 64 \times 0.8 = 51.2 \]

Thus, the answers are:

• The starting value for the sequence is 125.
• The common ratio is 0.8.
• The fifth term in the sequence is 51.2.