The sum of the first 11 terms of an arithmetic sequence is 220. find 6th term .
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Given : The sum of the first 11 terms of an arithmetic sequence is 220.
To find : 6th term .
Solution:
Arithmetic sequence : Sequence of terms in which difference between one term and the next is a constant.
This is also called Arithmetic Progression AP
Arithmetic sequence can be represented in the form :
a, a + d , a + 2d , …………………………, a + (n-1)d
a = First term
d = common difference = aₙ-aₙ₋₁
nth term = aₙ = a + (n-1)d
Sum of first n terms = (n/2)(2a + (n - 1)d)
sum of the first 11 terms
(11/2)(2a + (11 - 1)d) = 220
=> 2a + 10d = 40
=> a + 5d = 20
6th Term = 20
Hence 6th term is 20
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