Q3 of 167 Page 19

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

The Sum of the three terms of an A.P. is 21 and the product of the first, and the third terms exceed the second term by 6, find three terms

Three numbers are in A.P. If the sum of these numbers be 27 and the product 648, find the numbers

The sum of three numbers in A.P. is 12, and the sum of their cubes is 288. Find the numbers.

If the sum of three numbers in A.P. is 24 and their product is 440, find the numbers.