Find the sum of all the 11 terms of an AP whose middle most term 30.
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Sn =330
Step-by-step explanation:
Given middle term or the sixth term is 30
As we know, an =a+(n−1)d, where a & d are the first term and common difference of an AP respectively.
Then, a+5d=30
Sum = n/2 (2a+(n−1)d)
S11 = 11/2 (2a+10d)
Substituting,
= 11/2 (2×30)
=330
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