The formula to find a certain number in an arithmetic sequence is an=a1+d(nβ1)an=a1+d(nβ1) .Solve for n
Question
Answer:
The formula of arithmetic sequence isan = aβ + 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.
aβ + d(n - 1) = an
Then I move all the terms on the left one by one to the right side except n
aβ + d(n - 1) = an
d(n - 1) = an - aβ
n - 1 = (an - aβ)/d
n = 1 + (an - aβ)/d
This is the formula to solve n
n = 1 + (an - aβ)/d
solved
general
5 months ago
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