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The fourth term of an ap …

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The fourth term of an ap is zero prove that 25th term of the ap is 3 times its 11th term

Posted by The Anonymous Anonymous 2 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 3 months ago

Given, a₄ = 0
a + (n - 1)d = 0 [n = 4]
a + 3d = 0
a = -3d
From LHS, a₂₅ = a + (n - 1)d
= a + (25 - 1)d
= a + 24d [∵∵ a = -3d]
= -3d + 24d = 21d
From RHS, a₁₁ = a + (n - 1)d
= a + (11 - 1)d = a + 10d [∵∵ a = -3d]
= -3d + 10d
= 7d
∴∴ Hence, a₂₅ = 3 ×× a₁₁

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CBSE > Class 10 > Mathematics