Answer:
Step-by-step explanation:
<u>We can observe general terms of n:</u>
- aₙ = n + 1 + 2n + 2 + 3n + 3 + ... + (n - 1)n + (n - 1)
<u>Rewrite it as:</u>
- aₙ = (n + 1) + 2(n + 1) + 3(n + 1) + ... (n - 1)(n + 1) =
- (n + 1)(1 + 2 + 3 + ... + n - 1) =
- (n + 1)(1 + n - 1)(n - 1)/2 =
- (n - 1)n(n + 1)/2
<u>We need to find the least n for which aₙ > 500:</u>
- (n - 1)n(n + 1)/2 > 500 ⇒ (n - 1)n(n + 1) > 1000
<u>If n = 10:</u>
- a₁₀ = 9*10*11 = 990 < 1000
<u>If n = 11:</u>
- a₁₁ = 10*11*12 = 1320 > 1000
So the least n is 11
Is this in regards to probability?
The ones I can think of are one third, 1 to 3, and 1:3
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
10/18, because we've multiplied both of the numbers by two :)
Well mars have a low mass compared to the earth <span>the mass of mars is 38% </span>