Download App

SEQUENCES AND SERIES — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSEQUENCES AND SERIES1 Mark
MCQ
Find the sum $1^2+2^2+3^2+……………+10^2$​​​​​​​.
  • A
    325
  • B
    365
  • C
    385
  • ✓
    435
✓

Answer

Correct option: D.
435
  1. 435
Solution:
We know, sum of cubes of first n terms is given by
$\Big(\frac{\text{n}(\text{n}+1)}{2}\Big)^2.$
$\text{Here},\text{n}=8. \text{ so },\text{sum}=\Big(\frac{8\times9}{2}\Big)^2=1296.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from SEQUENCES AND SERIES→SEQUENCES AND SERIES — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $P$ be a closed polygon with $10$ sides and $10$ vertices (assume that the sides do not intersect except at the vertices). Let $k$ be the number of interior angles of $P$ that are greater than $180^{\circ}$. The maximum possible value of $k$ is
→
For every natural number $k$, which of the following is true?
→
If $\omega ( \ne 1)$is a cube root of unity and ${(1 + \omega )^7} = A + B\omega $, then $A$ and $B$ are respectively, the numbers
→
If $\text{cosec x}+\cot \text{x}=\frac{11}{2},$ then $\tan\text{x}$ is equal to:
→
Two tangents are drawn from a point $P$ to the circle $x^{2}+y^{2}-2 x-4 y+4=0$, such that the angle between these tangents is $\tan ^{-1}\left(\frac{12}{5}\right)$, where $\tan ^{-1}\left(\frac{12}{5}\right) \in(0, \pi)$. If the centre of the circle is denoted by $C$ and these tangents touch the circle at points $A$ and $B$, then the ratio of the areas of $\Delta PAB$ and $\Delta CAB$ is :
→
The set of all values of $\mathrm{k}\,>\,-1$, for which the equation $\left(3 x^{2}+4 x+3\right)^{2}-(k+1)\left(3 x^{2}+4 x+3\right)$ $\left(3 x^{2}+4 x+2\right)+k\left(3 x^{2}+4 x+2\right)^{2}=0$ has real roots is:
→
If vertices of any quadrilateral are $(0, -1), \,(2,1),\, (0, 3)$ and $(-2,1)$, then it is a
→
If $\sin (\alpha - \beta ) = \frac{1}{2}$ and $\cos (\alpha + \beta ) = \frac{1}{2},$ where $\alpha $ and $\beta $ are positive acute angles, then
→
If $f(x) = \frac{{\sin ({e^{x - 2}} - 1)}}{{\log (x - 1)}},$ then $\mathop {\lim }\limits_{x \to 2} f(x)$ is given by
→
If the vertices of a triangle are A(0, 4, 1), B(2, 3, -1) and C(4, 5, 0), then orthocentre of a $\triangle\text{ABC}$ is:
→