Find the first term of the arithmetic progression in which the 20th term is 41 and the difference is 5.

Let the first term of the arithmetic progression = a1, then its 20th term will have the following form:
a20 = a1 + 19d, where d is the difference, that is:
41 = a1 + 19 * 5
Hence:
a1 = 41 – 95
a1 = -54
Answer: -54.



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