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aleksklad [387]
3 years ago
8

The original purchase price of a car is 16,000, Each year, its value depreciates by 10%. Three years after its purchase, what is

the value of the car?
16
11,664
34,587.23
12,960
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0
The answer is 11,664
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Step-by-step explanation:

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3 years ago
Can someone explain what geometric sequences are?
Fed [463]

Explanation:

A sequence is a list of numbers.

A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.

<u>Examples</u>

  • 1, 2, 4, 8, ... common ratio is 2
  • 27, 9, 3, 1, ... common ratio is 1/3
  • 6, -24, 96, -384, ... common ratio is -4

___

<u>General Term</u>

Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...

  a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence

where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...

  • a(n) = 2^(n -1)
  • a(n) = 27×(1/3)^(n -1)
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You can see that these formulas are exponential in nature.

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<u>Sum of Terms</u>

Another useful formula for geometric sequences is the formula for the sum of n terms.

  S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence

When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...

  S = a(1)/(1-r)

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What is the surface area of a rectangular prism that is 12cm by 3cm by 5cm?
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Hope this helps!! :)
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3 years ago
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