Respuesta :
Answer:
The sequence in the first column represents an arithmetic sequence.
and the sequence in second column represents an geometric sequence.
Step-by-step explanation:
We are given a information that:
A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram.
Number of days---------------- Mass remaining
0 ------------------------------ 32 grams
5 ------------------------------- 16 grams
10 ------------------------------ 8 grams
15 ------------------------------- 4 grams
20 ------------------------------- 2 grams
25 -------------------------------- 1 gram
Thus; after 25 days (5 half-lives), the sample isotope has decayed from 32 grams to 1 gram .
1st column increasing by factor of '5' each increment i.e. it is an arithmetic sequence.
2nd column being 'halved' each increment (multiplied by factor of 0.5) i.e. it is an geometric sequence.
The number of disintegration per second of radioactive material decrease by one-half.
The first column is an arithmetic sequence and the second column is a geometric sequence.
What is the Half-life?
Half-life, in radioactivity, in the interval of time required for one-half of the atomic nuclei of a radioactive sample to decay or equivalent, the time required for the number of disintegration per second of radioactive material to decrease by one-half.
Given
A certain radioactive isotope has a half-life of 5 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram.
The table is shown.
[tex]\begin{aligned} \rm Number\ &of\ days\ \ \ \ \ \ \ \ \ \ \ & \rm Mass\ remaining\\\rm &0\ &32\ grams\\\rm &5\ &16\ grams\\\rm &10\ &8\ grams\\\rm &15\ &4\ grams\\\rm &20\ &2\ grams\\\rm &25\ &1\ gram\\\end{aligned}[/tex]
After 25 days, the sample isotopes have decayed from 32 grams to 1 gram.
Here the first column is an arithmetic sequence and the second column is a geometric sequence.
More about the half-life link is given below.
https://brainly.com/question/24710827
