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Solnce55 [7]
3 years ago
13

B. The 100th term of 60, 110, 160, ... is (Simplify your answer.) How to do this?​

Mathematics
1 answer:
Advocard [28]3 years ago
5 0

The 1st term is 60.

Add 50 to this to get the 2nd term, 60 + 50 = 110.

Add 50 to that to get the 3rd term, 110 + 50 = 160.

Add 50 to that to get the 4th term, 160 + 50 = 210.

And so on...

Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.

In the 3rd, we ultimately added 2 copies of 50 to the 1st term.

In the 4th, we added 3 50s.

And so on... If the pattern continues, then the <em>n</em>-th term can be obtained by adding (<em>n</em> - 1) copies of 50 to the first term.

So, the 100th term is

60 + (100 - 1) * 50 = 5010

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<h3>How many different ways are there to select the officers so that only one person holds each office?</h3>

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