Solve the Following Question.(5 Marks)

Questions

5 questions · self-marked practice — reveal the answer and mark yourself.

Question 15 Marks

Prove by the method of induction, for all n ∈ N.

$\frac{1}{3.4 .5}+\frac{2}{4.5 .6}+\frac{3}{5.6 .7}+\ldots+\frac{n}{(n+2)(n+3)(n+4)}=\frac{n(n+1)}{6(n+3)(n+4)}$

Question 25 Marks

Prove that:$(\sqrt{ } 5+1)^5-(\sqrt{ } 5-1)^5=352$

Question 35 Marks

Prove that:$(\sqrt{3}+\sqrt{2})^6+(\sqrt{3}-\sqrt{2})^6=970$

Question 45 Marks

Find the value of

$(2+\sqrt{5})^5+(2-\sqrt{5})^5$

Question 55 Marks

Find the value of

$(\sqrt{3}+1)^4-(\sqrt{3}-1)^4$

Solve the Following Question.(5 Marks) - Maths STD 11 Questions - Vidyadip

Maths Solve the Following Question.(5 Marks)