Assuming the inductive hypothesis 1 + 2 + \dots + k = k(k+1)/2 , adding the next term gives 1 + 2 + \dots + k + (k+1) = k(k+1)/2 + (k+1) . Which is the correct simplified form (needed to complete the inductive step)?

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Assuming the inductive hypothesis 1 + 2 + \dots + k = k(k+1)/2 , adding the ne...

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Assuming the inductive hypothesis $1 + 2 + \dots + k = k(k+1)/2$ 1 + 2 + \dots + k = k(k+1)/2, adding the next term gives $1 + 2 + \dots + k + (k+1) = k(k+1)/2 + (k+1)$ 1 + 2 + \dots + k + (k+1) = k(k+1)/2 + (k+1). Which is the correct simplified form (needed to complete the inductive step)?