16th question (3 marks)for class 10
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First condition,
T1 + T2 +T3 = 24
a + a +d +a + 2d = 33
=> 3a +3d = 33
=> a +d = 11
=> a = 11 - d -------(1)
Second condition,
(T1 * T3) - (T2) = 29
=> a(a+2d) - (a+d) = 29
=> (11-d)( 11-d +2d) - (11 - d +d) = 29
=> (11-d)(11 + d) - 11 = 29
=> 121 - d^2 - 11 = 29
=> 110 - d^2 = 29
=> d^2 = 110 - 29
=> d^2 = 81
=> d = 9
a = 11 - 9 = 2
Required AP is 2,11,20
T1 + T2 +T3 = 24
a + a +d +a + 2d = 33
=> 3a +3d = 33
=> a +d = 11
=> a = 11 - d -------(1)
Second condition,
(T1 * T3) - (T2) = 29
=> a(a+2d) - (a+d) = 29
=> (11-d)( 11-d +2d) - (11 - d +d) = 29
=> (11-d)(11 + d) - 11 = 29
=> 121 - d^2 - 11 = 29
=> 110 - d^2 = 29
=> d^2 = 110 - 29
=> d^2 = 81
=> d = 9
a = 11 - 9 = 2
Required AP is 2,11,20
gaurav2013c:
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