What is the first term?
The sum of the first 10 terms of an arithmetic sequence is 120, and the common difference between consecutive terms is 5. What is the first term of the sequence?
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For this we can set up an equation:
ReplyDeletex + x + 5 + x + 10 + x + 15 + x + 20 + x + 25 + x + 30 + x + 35 + x + 40 + x + 45 = 120
10x + 225 = 120
10x = -105
x = -10.5
Therefore, the first term of the sequence is -10.5