What is the diameter if the radius is 6ft.?
1 answer:
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I suppose you mean
Recall that for , we have
Then
which is valid for , or more simply
.
Finally,
The scenario as a sequence recursively and explicitly is
= 9,000 ;
= 0.86 •
Step-by-step explanation:
The recursive formula for the nth term of a geometric sequence is
= first term ;
= r •
, where
is the first term in the sequence
- r is the common ratio between the consecutive terms
The explicit formula for the nth term of a geometric sequence is
, where
- a is the first term
- r is the common ratio between the consecutive terms
∵ A scooter (small motorcycle) is bought at a price of $9,000
∵ It loses 14% of its value very year
- That means the new price of it will be 100% - 14% of the
previous year
∵ 100% - 14% = 86%
∵ 86% = 86 ÷ 100 = 0.86
∴ Each year the price will be 0.86 of the price of the previous year
∴ The common ratio r = 0.86
∵ The initial price of the scooter is $9,000
∴ = 9,000
∵ r = 0.86
- Substitute them in the the recursive formula
∴ = 9,000 ;
= 0.86 •
∵ a = 9,000
∵ r = 0.86
- Substitute them in the the explicit formula
∴
The scenario as a sequence recursively and explicitly is
= 9,000 ;
= 0.86 •
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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