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Solve: 1+4+7+10+...+x=590....

Solve: `1+4+7+10+...+x=590.`

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` 1 + 4 + 7 + 10 + … + x = 590 `
` rArr " Let " n^(th)` be x
then ` 1 + (n -1) xx 3 = x `
` rArr x = 3n - 2 `
thus ` (n)/(2) (1 + 3n - 2) = 590 `
` rArr 3n^(2) - n - 1180 = 0 `
` n = 60 , (59)/(3) "but" n ne - (59)/(3)`
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