Webb25 nov. 2024 · Explanation: 1 (3n − 2)(3n + 1) = A 3n − 2 + B 3n + 1 So: 1 = A(3n +1) +B(3n −2) Putting n = 2 3 this becomes: 1 = 3A so A = 1 3 Putting n = − 1 3 it becomes: 1 = − 3B so B = − 1 3 Then: N ∑ n=1 1 (3n − 2)(3n + 1) = N ∑ n=1( 1 3(3n − 2) − 1 3(3n +1)) N ∑ n=1 1 (3n − 2)(3n + 1) = N ∑ n=1 1 3(3n − 2) − N ∑ n=1 1 3(3n + 1) WebbSimplify (√3 − √2)^2. Answers: 1 Show answers Another question on Mathematics. Mathematics, 21.06.2024 16:30. The spring the owner of a sporting good store decreases the price of winter gloves from $10 to $8 each increases the price of swimming ...

Prove that $1 + 4 + 7 + · · · + 3n − 2 = \\frac {n(3n − 1)}{2}$

Webb8 dec. 2014 · Sorted by: 3. You can define a recursive method to calculate 3n+1. def threen (n): if n ==1: return 1 if n%2 == 0: n = n/2 else: n = 3*n+1 return threen (n)+1. To avoid calculating same numbers twice you can cache values. cache = {} def threen (n): if n in cache: return cache [n] if n ==1: return 1 orig = n if n%2 == 0: n = n/2 else: n = 3*n+1 ... WebbSimplify the expression. Tap for more steps... Step 1.1. Move to the denominator using the negative exponent rule . Step 1.2. Move to the ... Simplify the denominator. Tap for more steps... Step 2.1. Apply the product rule to . Step 2.2. Rewrite the expression using the negative exponent rule . Step 2.3. Combine and . Step 2.4. Apply the ... sludge life warper

SOLUTION: Simplify the expression (3n+2)!/(3n-3)! - Algebra

Webb6 sep. 2024 · This expression can be simplified by collecting the like terms. 3𝒏 – 2𝒏 = 𝒏 and 6 + 6 = 12. This expression can be simplified. 3(𝒏 + 2) – 2(𝒏 – 3) is equivalent to 𝒏 + 12. WebbThe correct way to simplify the expression is the following: 3 n + 2 (1 − 4 n) = 3 n + 2 − 8 n = 2 − 5 n \begin{align*} 3n + 2(1-4n)&= 3n + 2 - 8n\\ &= 2 - 5n \end{align*} 3 n + 2 (1 − 4 … WebbIn this video you will prove that (3n+1)^2-(3n-1)^2 is always a multiple of 12 for all positive integers of n. The first thing you need to do is expand the d... soil type in udaipur