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The 11 term of an ap …

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

Posted by Navjot Kaur 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 5 months ago

We have given that
4th term of an A.P.= a₄ = 0
∴ a + (4 – 1)d = 0
∴ a + 3d = 0
∴ a = –3d ….(1)

25th term of an A.P. = a₂₅
= a + (25 – 1)d
= –3d + 24d ….[From the equation (1)]
= 21d

3 times 11th term of an A.P. = 3a₁₁
= 3[a + (11 – 1)d]
= 3[a + 10d]
= 3[–3d + 10d]
= 3 × 7d
= 21d

∴ a₂₅ = 3a₁₁

i.e., the 25th term of the A.P. is three times its 11th term.

1Thank You

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