Since we are given with the identity of the chemical as Carbon-14, we obtain the half-life of the chemical from a reliable source and get a value of 5730 years. The equation that we are going to use for this item is,
A(t)/A(0) = (0.50)^(n/5730)
where A(t) is the current amount, A(0) is the initial amount and n is the number of years. We know from the given that the ratio of A(t) and A(0) is equal to 0.63. Substituting this to the given,
0.63 = 0.50^(n/5730)
n = 3819.48
Thus, the sample is approximately 3819.5 years old.
The terms of an arithmetic progression, can form consecutive terms of a geometric progression.
- The common ratio is:
- The general term of the GP is:
The nth term of an AP is:
So, the <em>2nd, 6th and 8th terms </em>of the AP are:
The <em>first, second and third terms </em>of the GP would be:
The common ratio (r) is calculated as:
This gives
The nth term of a GP is calculated using:
So, we have:
Read more about arithmetic and geometric progressions at:
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What is the change in the total cost for each book printed?
$25
What is the cost to get started (before any books are printed)?
$1250
