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The first three terms of an arithmetic sequence are 1, 10 and 19, respectively. What is the value of the 27th term?

 Nov 3, 2021
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The common difference of an arithmetic sequence is the difference of any two consecutive numbers. The nth term of a sequence, in this case the 27th term, is equal to, (the common difference multiplied by n-1) + the first number in the sequence. Since the common difference in this arithmetic sequence is 10-1=9 or 19-10 = 9, and the first term in the sequence is 1, the 27th term will be 9*(27-1) + 1 = 9*26+1 = 235 :)  

 Nov 3, 2021

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