Download App

Mathematical Induction — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSMathematical 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 "(Each question 1 marks)" from Mathematical Induction→Mathematical Induction — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the sum of the squares of deviations for 10 observations taken from their mean is 2.5, then write the value of standard deviation.
→
Describe the following sets in Roster form:
{x : x is a letter before e in the English alphabet};
→
Which term of the G.P., 2,8,32, ... up to n terms is 131072?
→
Rewrite the following statements in the form "p if and only if q". r: For you to get an A grade, it is necessary and sufficient that you do all the homework regularly.
→
In a $\triangle\text{ABC},$ if $\text{b}=\sqrt{3},$ c = 1 and $\angle\text{A}=30^{\circ},$ find a.
→
Which of the following cannot be valid assignment of probability for elements or outcomes of sample space s = $W_1, W_2,W_{3,} W_4, W_5, W_6, W_7.$
Elementary events: $W_1$ $W_2$ $W_3$ $W_4$ $W_5$ $W_6$ $W_7$
  $\frac{1}{14}$ $\frac{2}{14}$ $\frac{3}{14}$ $\frac{4}{14}$ $\frac{5}{14}$ $\frac{6}{14}$ $\frac{15}{14}$
→
Write each of the statements in the form “if p, then q” r: You can access the website only if you pay a subsciption fee.
→
How many elements has P(A), if $\text{A}=\phi$?
→
If the sum of n terms of an A.P. is $n \mathrm{P}+\frac{1}{2} n(n-1) \mathrm{Q}$, where P and Q are constants, find the common difference.
→
The 10th common term between the A.P.s 3, 7, 11, 15, ... and 1, 6, 11, 16, ... is:
→