Question

the sum of the three terms in AP is -3 and their is 8. find the numbers

Answer 1

Let second number be a .

Therefore other two numbers are a-d and a+d .

Therefore ---

a - d + a + a + d = -3

3a = -3

a = -1

Therefore -----

( a - d ) ( a ) ( a + d ) = 8

( a² - d² ) ( a ) = 8

( a² - d² ) ( -1 ) = 8

a² - d² = -8

1 - d² = -8

:. d² = 9

.: d = 3


So the numbers are : -4 , -1 , 2 .


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