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Find the missing term in the arithmetic sequence −14, _, _, 46

User Amit Kumar
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1 Answer

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In an arithmetic sequence, the difference between consecutive terms is constant. In this case, the difference between −14 and 46 is 60, so we can say that the common difference is 60.

To find the missing terms, we can use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference.

Plugging in the values from the given sequence, we have:

a_2 = -14 + (2 - 1) * 60 = -14 + 60 = 46

a_3 = -14 + (3 - 1) * 60 = -14 + 120 = 106

So, the missing terms are 46 and 106.
User Sayeem
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