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Sequences and Series — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSSequences and Series1 Mark
MCQ
 Find the sum of series 62 + 72 +…………………..+ 152.
  • A
    55
  • B
    1185
  • C
    1240
  • D
    1385
✓

Answer

  1. 1185

Solution:

62 + 72 +………………..….. + 152

= (12 + 22 + 32 + …….. +152) – (12 + 22 + 32 + 42 + 52)

$=\frac{15\times16\times31}{6}-\frac{5\times6\times11}{6}$

$=1240-55=1185.$

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