Mr. Blue' salary is an illustration of a geometric sequence
- The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)
- The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
<h3 /><h3>How to determine the explicit formula?</h3>
Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
<h3>How to determine the recursive formula?</h3>
The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
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