Download App

Principle of Mathematical Induction — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsPrinciple of Mathematical Induction1 Mark
Question
State the first principle of mathematical induction.
✓

Answer

Let p(n) be a statement involving the natural number n such that:
p(1) is true
p(m + 1) is true, whenever p(m) is true
Then p(n) is true for all $\text{n}\in\text{N}$
This is called first principle of Mathematical Induction.

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 "1 Marks Question" from Principle of Mathematical Induction→Principle of Mathematical Induction — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If odds in favour of an event be 2 : 3, find the probability of occurrence of this events.
→
Is x : x is a natural number, x < 5 and, x > 7 null set?
→
If the sums of n terms of two arithmetic progressions are in the ratio $2n + 5 : 3n + 4,$ then write the ratio of their mth terms.
→
How many elements has $P(A),$ if $A = \phi $?
→
Which of the following statements are true and which are false? In each case give a valid reason for saying so:
r: Circle is a particular case of an ellipse.
→
If the sum of $n$ terms of an $A.P.$ be $3n^2 − n$ and its common difference is $6,$ then its first term is:
→
Write the common difference of an A.P. whose nth term is $xn + y.$
→
Fill in the blanks :
(i) Plane formed by $x$-axis and $y$-axis is _________.
(ii) Coordinates of a point in XY-plane can be shown as _________.
(iii) Coordinate axes divide the space in __________ octants.
→
If the sum of $p$ terms of an $A.P.$ is $q$ and the sum of $q$ terms is $p$, then the sum of $p + q$ terms will be:
→
If $S_n$ denotes the sum of first $n$ terms of an $A.P. < a_n >$ such that $\frac{\text{S}_\text{m}}{\text{S}_\text{n}}=\frac{\text{m}^2}{\text{n}^2},$ then $\frac{\text{a}_\text{m}}{\text{a}_\text{n}}=$
→