Question 1135721
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<pre>
From the statement  "the greatest number is 4 times the least" we get


    {{{4*a[1]}}} = {{{a[1]+3d}}}  ====>


    {{{3*a[1]}}} = 3d  ====>  {{{a[1]}}} = d.


From the statement  "the sum is 50"  we get then


    {{{a[1]}}} + {{{(a[1]+d)}}} + {{{(a[1]+2*d)}}} + {{{(a[1]+3d)}}} = 50,   or


    {{{4*a[1] + 6d}}} = 50,   or   4d + 6d = 50,   or  10d = 50,  i.e.  d = 50/10 = 5.


Thus  {{{a[1]}}} = 5   and  d = 5.


The progression (the 4 terms) are  5, 10, 15 and 20.   <U>ANSWER</U>
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Solved.