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class 10th
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Let the 3 terms of an AP be a-d,a,a+d
a + a + d + a - d = 33
3a = 33
So, a = 11
Therefore, the terms are 11-d,11,11+d
(11-d)(11+d) = 29 + 11
121 + 11d -11d - d^2 = 40
121 - d^2 = 40
d^2 = 81
d = 9
Therefore the AP is 2, 11, 20
HOPE THAT THIS WAS HELPFUL !!!!
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let the first term be A
the common difference be D
then the sum of first 3 term
a+a+ d+a+2d=3a+3d
given that 3(a+d)= 33
a+d=11
d=11-a
second term of AB be 11
the product of the first and third term = (a)(a+2d)=a(a+2(11-a)
=a(a+22-2a)
=a(22-a)
Given 22a-a2-29=a+d
22a-a2-29=11
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