Find the three numbrs which are in A.P. Sum of these three term is 36 if 5,6,7 be added to numbers
respectively then they become in G.P. so find the number.
Answers
Answered by
1
Answer:
5,11,18 I think it's useful for you
Answered by
1
Answer:
13,12,11
Step-by-step explanation:
Sn=36
let a, a+d, a+2d be the three terms
a+a+d+a+2d=36. (given)
3a+3d=36
a+d=12
a=12-d ------- (1)
substitute the value of a in the three terms which are in gp....a+5,a+d+6,a+2d+7
we get 17-d, 18, 19+d
GM=root ab
(GM).(GM)=ab
using this formulae,
18.18=(17-d)(19+d)
324=-d.d-2d+323
d^+2d+1=0. (on simplyfying)
(d+1)^2=0
d=-1
on substituting the value of d in eq (1) we get
a=13
a+d=12
a+2d=11
so the terms are 13,12,11
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