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SEQUENCES AND SERIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSEQUENCES AND SERIES1 Mark
MCQ
Find the sum $1^3+2^3+3^3+……………+8^3$​​​​​​​.
  • A
    1225
  • B
    1184
  • C
    1475
  • ✓
    1296
✓

Answer

Correct option: D.
1296
  1. 1296
Solution:
We know, sum of cubes of first n terms is given by
$\Big(\frac{\text{n}(\text{n}+1)}{2}\Big)^2.$
$\text{Here},\text{n}=8\text{ so},\text{sum}=\Big(\frac{8\times9}{2}\Big)^2+1296.$

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