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Find the sum of n terms of the series
1 + 8 + 19 + 34 + 53 + 76 + ------
A man and a boy agree to dig a patch of potatoes for ten dollars. The man can dig as fast as the boy can pull tops, and he can pull tops twice as fast as the boy can dig. How should the money be divided?
find the smallest value of
prove that
sin x≥ 2 x/ pi , x ∈ [0, pi/2]
Prove that if
Solve the following equation on the set of real numbers:
If
andthis is other way
----1
from 1
I am sorry for all This large error
you are right jane 4S √3 ≥ a²+b²+c² is not right
4S √3 ≤ a²+b²+c² this is is right
A pologise
SOLVE
a,b integers
if atriangle has sides of length a,band c, and the area is S
prove that
4S √3 ≥ a²+b²+c²
with equality holding if and only if the triangle is equilateral
JaneFairfax
wonderful Solution
You are right
Next time I shall problem in “Puzzles and Games”
find the roots
1,2,4,8,16 yes
1,2,4,6 how olivia
For x>1 determine the sum of the series
find
what is the last four digits for
Inside the unique square PQRS are drawn the 4 quarter-circles having unit radii and the vertices as centers. Determine the area A that is common to the 4 quadrants.

Welcome Youth
I have three other solutions to this problem
There is one other forums which he introduced this solution
To discuss this solution
And try to acquire other ideas
JaneFairfax im not a charlatan
Krizalid im not stole but i have three other solutions to this problem
Thank you for all
Thus,
prove
without l hopetal
find
when x-->0
For what real values of x will the value of the expression
Let N = { 0, 1, 2, 3, ... } and suppose F: N --> Z+ is defined by: F(0) = 0 ; F(1) = 1 ;F(n) = 18F(n – 1) – 65F(n – 2), for all n = 2, 3, 4, ... What is F(1000)?