Question

Four numbers are in AP, whose sum is 20 and ratio between the
product of their extremes to product their mean is 2:3. Find four terms.​

Answer 1

Answer:

terms are 2 , 4, 6 & 8

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Step-by-step explanation:

let say 4 terms are

a  , a+d  , a+2d , a +3d

Sum = a + a+d + a +2d + a+3d = 4a +6d = 20

2a + 3d = 10

3d = 10 - 2a

a (a+3d) = 16

a (a + 10-2a) = 16

-a^2 + 10a = 16

a^2 - 10 + 16 = 0

(a-8)(a-2) = 0

a= 8   or a = 2

if a =8 then d = -2

if a = 2 then d =2

terms are 8 , 6 , 4 , 2

or 2 , 4 , 6 , 8