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; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

Question

Mathematics

Zavier Li

Today, 10:14

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; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

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Jayden Donaldson · Answer 1

Amount remaining = 32 / 2^ (time in days / 5 days)

Days

Mass

0 32.00

1 27.86

2 24.25

3 21.11

4 18.38

5 16.00

6 13.93

7 12.13

8 10.56

9 9.19

10 8.00

11 6.96

12 6.06

13 5.28

14 4.59

15 4.00

16 3.48

17 3.03

18 2.64

19 2.30

20 2.00

21 1.74

22 1.52

23 1.32

24 1.15

25 1.00

First Column - arithmetic sequence

Second Column - Logarithmic Decay sequence