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Find the sum of all. The 11term of an ap whose middle most term.is 30

Posted by Harsh Kumar 5 years, 10 months ago

CBSE > Class 10 > Mathematics

2 answers

Yogita Ingle 5 years, 10 months ago

We can say that 30 is the Median of 11 terms.
therefore
we know
M = (n + 1)/2 th observation for n = odd
Therefore the 6th term of this AP is 30
Therefore A6 = 30
a + 5d = 30

therefore we need to find S11
Therefore S₁₁= n/2(2a + (n-1)d)
=11/2(2a + 10d)
=11/2(2(a + 5d)
replacing value
=11/2(2(30))
=11 * 30
=330
therefore Answer is 330

1Thank You

Harsh Kumar 5 years, 10 months ago

330

2Thank You

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