1.

Find the sum of series 1^3+3^3+5^3+…………………………..+11^3.(a) 2556(b) 5248(c) 6589(d) 9874I have been asked this question in examination.I need to ask this question from Sum to n Terms of Special Series topic in section Sequences and Series of Mathematics – Class 11

Answer»

The CORRECT choice is (a) 2556

Best explanation: 1^3+3^3+5^3+…………………………..+11^3

= (1^3+2^3+3^3+……+11^3) – (2^3+4^3+6^3+8^3+10^3)

= (1^3+2^3+3^3+……11^3) – 2^3(1^3+23+3^3+4^3+5^3)

= (11*12/2)^2 – 8(5*6/2)^2

= 66^2-8*15^2

= 4356 – 1800

= 2556.



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