The sum of three numbers in AP is -3 and
their product is 8. Find the common
difference of an AP.
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Answer:
- let, the three numbers are (A-d), (a) and (a+ d)
- sum of this number =( a-d) + (a)+ (a+d)= -3
Step-by-step explanation:
- 3a =-3
- a= -1
- and there product =( a-d )(a+ d)(a) = 8
- (a²-d²)a=8. ( a²-b²)=( a+b )( a-b)
- putting the value of a
- (-1)²-(d²) = 8
- 1-d²= 8
- 1-8 = d²
- √-7 = d
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