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26 May, 04:37

The formula to find a certain number in an arithmetic sequence is an=a1+d (n-1) an=a1+d (n-1).

Solve for n

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  1. 26 May, 08:34
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    The formula of arithmetic sequence is

    an = a₁ + d (n - 1)

    Then we need to find the formula to determine n. I reverse the equation so the 'n' will be on the left side.

    a₁ + d (n - 1) = an

    Then I move all the terms on the left one by one to the right side except n

    a₁ + d (n - 1) = an

    d (n - 1) = an - a₁

    n - 1 = (an - a₁) / d

    n = 1 + (an - a₁) / d

    This is the formula to solve n

    n = 1 + (an - a₁) / d
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