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If an A.P. is 1,7,13, 19, ……… Find the sum of 22 terms.(a) 127(b) 1204(c) 1408(d) 1604I had been asked this question in homework.My doubt stems from Arithmetic Progression(A.P.) in section Sequences and Series of Mathematics – Class 11

Answer»

The correct option is (C) 1408

To EXPLAIN: From the given A.P., a=1 and d=7-1 = 6.

We know, Sn = \(\frac{n}{2} (2a+(n-1)d)\)

S22 = \(\frac{22}{2} (2*1+(22-1)6)\) = 11(2+21*6) = 11(2+126) = 11*128 = 1408.



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