The value of the expression 3(1!) - 4(2!) + 5(3!) - 6(4!) ...... … - Vidyadip

MCQ

The value of the expression
$3(1!) - 4(2!) + 5(3!) - 6(4!) ...... - 2008(2006)!+ (2007)!$ is

A
$-2007$
B
$-1$
✓
$1$
D
$2007$

✓

Answer

Correct option: C.

$1$

c
$T_1 = (2 + 1)(1!) = 2! + 1!$
$T_2 = -(3 + 1)(2!) = (3! + 2!)$
$T_3 = (4 + 1)(3!) = 4! + 3!$
:
Sum $= 1$

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 "M.C.Q (1 Marks)" from STD 11 - 8. sequence and series→STD 11 - 8. sequence and series — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $A, B, C$ are three sets, then $A \cap (B \cup C)$ is equal to

Let the six numbers $a_1, a_2, a_3, a_4, a_5, a_6$ be in $A.P.$ and $a_1+a_3=10$. If the mean of these six numbers is $\frac{19}{2}$ and their variance is $\sigma^2$, then $8 \sigma^2$ is equal to

The sum of the series $6 + 66 + 666 + ..........$ upto $n$ terms is

Tangent is drawn to ellipse $\frac{{{x^2}}}{{27}} + {y^2} = 1$ at $(3\sqrt 3 \cos \theta ,\;\sin \theta )$ where $\theta \in (0,\;\pi /2)$. Then the value of $\theta $ such that sum of intercepts on axes made by this tangent is minimum, is

Let $S _{1}, S _{2}$ and $S _{3}$ be three sets defined as

$S _{1}=\{ z \in C :| z -1| \leq \sqrt{2}\}$ ; $S _{2}=\{ z \in C : \operatorname{Re}((1- i ) z ) \geq 1\}$ ; $S _{3}=\{ z \in C : \operatorname{Im}( z ) \leq 1\}$ Then the set $S _{1} \cap S _{2} \cap S _{3}$

If $^{(\text{a}^2-\text{a})}\text{C}_{\text{2}}=^{(\text{a}^2-\text{a})\text{}}\text{C}_{\text{4}},$ is then x:

The points of intersection of the line $4x - 3y - 10 = 0$ and the circle ${x^2} + {y^2} - 2x + 4y - 20 = 0$ are

The region of the complex plane for which $\left| {\frac{{z - a}}{{z + \overline a }}} \right| = 1\,$ $\,[R(a) \ne 0]$ is

If $Y ∪ \{1, 2\} =\{1, 2, 3, 5, 9\},$ then:

If $\text{f}(\text{x})=\frac{\text{x}^{\text{n}}-\text{a}^{\text{n}}}{\text{x}-\text{a}}$ for some constant, $a,$ then $f'(a)$ is equal to: