Arithmetic Series: Find 1st 3 Terms & 20th Term

AI Thread Summary
The nth term of the arithmetic series is given as 1/2(3-n). To find the first three terms, substitute n with 1, 2, and 3, resulting in the terms 1, 0.5, and 0. The 20th term is found by substituting n with 20, yielding -8. This approach clarifies how to derive terms from the provided formula.
kwuk
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Homework Statement



The nth term of an arithmetic series is 1/2(3-n). What are the first three terms and the 20th term?


Homework Equations



nth term = a+(n-1)d

The Attempt at a Solution



I have made various attempts but cannot seem to work out how this can be done without a specific number for n. Have answered questions where two different terms have been given and used simultaneous equations to determine the first term and common difference but can't seem to do this as only one term is given. Advice anyone??
 
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kwuk said:
The nth term of an arithmetic series is 1/2(3-n). What are the first three terms and the 20th term?

Hi kwuk! :smile:

(i assume you mean (3-n)/2)

erm :redface: … the first three terms have n = 1, 2, 3, and the 20th has n = 20 :wink:
 
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