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Question: Answered & Verified by Expert
The sum of the series 1232+2132+32+3232+...... to 10 terms is
MathematicsSequences and SeriesJEE Main
Options:
  • A 13909
  • B 17909
  • C 19909
  • D 22909
Solution:
1071 Upvotes Verified Answer
The correct answer is: 22909
1232+2132+32+3232+........ to 10 terms
=532+732+932+1132........ to 10 terms
=52+72+92+112+.....9 to 10 terms
=19∑r=1102r+32
=194∑r=110r2+12∑r=110r+9∑r=1101
=1924×10×11×21763+612×10×112+9×10
=191540+660+90=22909

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