For Daily Free Study Material Join wiredfaculty Whatsapp Group | Download Android App | Ncert Book Download
Prove the following by using the principle of mathematical induction for all
Let I. For n = 1,
∴ P(1) is trueII. Let the statement be true for n = m, P(m) : ...(i)III. For n = m + 1, or From (i), Also, 1, 2 , 3,..........., m+1 are in A.P. [By using ]
∴ which is true.∴ P(m + 1) is true.
∴ P(m) is true P(m + 1) is true.Hence, by the principle of mathematical induction, the statement P(n) is true for all