First three terms of an a.P having sum 33 and product 1155. Then 11th term is
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Step-by-step explanation:
Let 3 terms be a, a+d , a-d
A + a + d + a - d = 33
3a = 33
A = 33/3 = 11
A(a+d)(a-d) = 1155
11 ( 11 + d) (11-d) = 1155
121 - d² = 1155/11
121 - d² = 105
D² = 121 - 105
D² = 16
D = ± 4
If d = +4
A11 = a + (n-1)d
= 11 + (11 - 1)4
= 11 + 40 = 51
If d = -4
A11 = a + (n-1)d
= 11 + (11-1)-4
= 11-40 = -29
Hope it helps uh
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