Question

the table below shows the discount prices for a pair of shoes several months after they are released​

Answer 1

Answer:

• an = 160·0.85^(n-1)
• $51.29

Step-by-step explanation:

In the given formula, a1 refers to the first term of the sequence (160), and r refers to the common ratio (136/160 = 0.85). Putting these values into the formula gives ...

a) Explicit formula: an = 160·0.85^(n-1)

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b) The 8th term is found by putting n=8 into the formula and doing the arithmetic:

  a8 = 160·0.85^(8-1) ≈ 51.29

After 8 months, the price is predicted to be $51.29.

Answer 2

Answer:

an = 160[0.85^(n-1)]

$51.29

Step-by-step explanation:

a = 160

ar = 136

r = 136/160 = 0.85

an = 160[0.85^(n-1)]

a8 = 160[0.85^(8-1)]

= 51.29233413