Get the answer to "Prove that for n≥2,2⋅(n2)+(n1)=n2" - Plainmath

Secondary
Other

generals336

Answered question

2021-01-10

Prove that for

n \geq 2, 2 \cdot (\begin{matrix} n \\ 2 \end{matrix}) + (\begin{matrix} n \\ 1 \end{matrix}) = n^{2}

Answer & Explanation

Ayesha Gomez

Skilled2021-01-11Added 104 answers

Prove that for

n \geq 2, 2 \cdot (\begin{matrix} n \\ 2 \end{matrix}) + (\begin{matrix} n \\ 1 \end{matrix}) = n^{2}

Step 1. Definitions
Definition combination

n C r = (\begin{matrix} n \\ r \end{matrix}) = \frac{n!}{r! (n - r)!}

with

n! = n \times (n - 1) \times \dots \times 2 \times 1

.
Pascals

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?

Product

Company

Connect with us

Contact us

Get Plainmath App

Google Play

Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus

Cyprus reg.number: ΗΕ 419361

E-mail us: support@plainmath.net

Our Service is useful for:

Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD.

2023 Plainmath. All rights reserved