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Question
Make d the subject of formula S = `"n"/(2){2"a" + ("n" - 1)"d"}`
Solution
S = `"n"/(2){2"a" + ("n" - 1)"d"}`
⇒ 2S = 2an + n(n - 1)d
⇒ 2S - 2an = n(n - 1)d
⇒ 2(S - an) = n(n - 1)d
⇒ d = `(2("S" - "an"))/("n"("n" - 1)`.
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