The sum of the first three numbers in an A.P is18.If the product of the first and third term is 5times the common difference ,find the three numbers.
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Answer:
Step-by-step explanation:
assume the no.s to be (a-d),a,(a+d)
(a-d)+a+(a+d)=18
3a=18
a=6 ......................(1)
product: (a-d)(a+d)=5d
a^2-d^2=5d
36-d^2=5d
d^2+5d-36=0
by splitting middle term,
(d+9)(d-4)=0
thus, d=4 or -9
with d=4 : solutions 2,6,10
with d=(-9) : solutions 15,6,-3
sahildhande987:
How are they in AP??
they have a common difference of "d"...…..
u can also take the terms as a,a+d,a+2d
but the process wld get too complicated
hope the answer was of some help
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