Sequences & Series · Arithmetic progression

Let

\alpha_1, \alpha_2, \alpha_3, \alpha_4

be an A.P. of four terms such that each term of the A.P. and its common difference

l

are integers. If

\alpha_1 + \alpha_2 + \alpha_3 + \alpha_4 = 48

and

\alpha_1\alpha_2\alpha_3\alpha_4 + l^4 = 361

then the largest term of the A.P. is equal to

We corrected a printing error in the original paper

Source printed “ $\alpha_1, \alpha_2, \alpha_3, \alpha_4 + l^4 = 361$ ” (commas instead of the product $\alpha_1\alpha_2\alpha_3\alpha_4$ ).

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