(b) From part (a), and the relation m² = 2(5) +m for m > 2, deduce the fomula 5. (a) For n > 2, prove that n+1 6)-C)-G)-()-(":") .2 3. [Hint: Use induction and Pascal's rule.] (6) From part (a), and the relation m² = 2(")+ m for m > 2, deduce the fo %3D n(n + 1)(2n + 1) 12+ 2² + 3² + ·..+n² = %3D 6. (c) Apply the formula in part (a) to obtain a proof that n(п + 1)(п +2) 1.2+2.3+...+ n(n + 1) = %3D 3 [Hint: Observe that (m – 1)m = 2(5).] %3D

Q: 12 5(.8)0

A: We can solve given problem by using G.P series.

Q: 6.4 3

A:

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: 5/14+1/6

A: 514+16=15+742

Q: expand (a-b)7

A: The solution is given in the next step.

Q: Suppose that 103 Σ ai = 19 and i=1 103 i=1 b₁ = 18. Compute the sum.

A:

Q: 3/8+5/24

A: The given expression is 3/8 + 5/24.Simplify the given expression as follows.

Q: 57-24

A: Given that: 57-24

Q: 4.122

A: Given Information: a) Suppose each lot contains 10 items, you decide to sample 4 items per lot and…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.