arithmetic progression

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the sum of the first three numbers of an arithmetic series is 12. the 20th term is - 32, find the first term an the common difference?
 
the sum of the first three numbers of an arithmetic series is 12. the 20th term is - 32, find the first term an the common difference?
Welcome to this forum. When posting please show some of your own work.
Then tell us with what part you need help.
This will get you started: \(\displaystyle a_n=a_1+(n-1)d\) gives the terms.
From the given, you need to find \(\displaystyle a_1~\&~d\).
 
I am convinced that you know that an arithmetic progression is defined by a, (a + d), (a + 2d), (a + 3d), etc. where a = the first term and d = the common difference.
Similarly, I am certain that you know that the nth term of an arithmetic progression, N, is defined by N = a + (n - 1)d

You have been told that the sum of the first three terms of an arithmetic progression is 12 and the twentieth term is -32.

Now, where do your given pieces of information fit into these expressions for arithmetic progressions?
 
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