Find four terms in AP whose sum is 50 and in which the greatest number is 4 times the least Question Find four terms in AP whose sum is 50 and in which the greatest number is 4 times the least in progress 0 Math Remi 1 month 2021-08-17T10:47:57+00:00 2021-08-17T10:47:57+00:00 1 Answer 0 views 0

## Answers ( )

Step-by-step explanation:let the 4 number be a – 3d , a – d , a + d , a +3 d

then a – 3d +a – d + a + d + a + 3d=50

4a=50

a=25/2

but a + 3d = 4(a-3d)

a + 3d = 4a – 12d

3a=15d

a=5d

25/2=5d

d=5/2

so the 4 no’s are

a-3d=25/2-15/2=10/2=5

a-d=25/2-5/2=20/2=10

a+d= 25/2+5/2=15

a+3d= 25/2+15/2=20

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