Find the four numbers in A.P., whose sum is 50 and in which the greatest number is 4 times the least.

Given: Sum of four terms is 50


To find: first four terms of AP


Assume these four terms are a - 2d, a - d, a + d, a + 2d


Sum of these terms is 4a = 50



It is also given that the greatest number is 4 time the least


a + 2d = 4(a - 2d)


3a = 10d



Substituting



Hence the terms of AP are a - d, a, a + d which is


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