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The 7th and 13th term of an arithmetic sequence are 51 an 15 respectively. which term of the sequence is equal to -21

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the 13th term is six terms away from the 7th, so

7d = 15-51 = -36
Now you know that the terms drop by 36 every 7 terms.
Since -21 = 15-36, there are 7 more terms, so the 20th term is -21

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