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Difference between revisions of "2007 Cyprus MO/Lyceum/Problems"

(→‎Problem 1)
(→‎Problem 2)
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== Problem 2 ==
 
== Problem 2 ==
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Given the formula <math>f(x) = 4^x</math>, then <math>f(x+1)-f(x)</math> equals to
 +
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A. <math>4</math>
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 +
B. <math>4^x</math>
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C. <math>2 \bullet 4^x</math>
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D. <math>4^{x+1}</math>
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E. <math>3 \bullet 4^x</math>
  
 
[[2007 Cyprus MO/Lyceum/Problem 2|Solution]]
 
[[2007 Cyprus MO/Lyceum/Problem 2|Solution]]

Revision as of 10:33, 6 May 2007

Problem 1

If $x-y=1$,then the value of the expression $K=x^2+x-2xy+y^2-y$ is

A. $2$

B. $-2$

C. $1$

D. $-1$

E. $0$

Solution

Problem 2

Given the formula $f(x) = 4^x$, then $f(x+1)-f(x)$ equals to

A. $4$

B. $4^x$

C. $2 \bullet 4^x$

D. $4^{x+1}$

E. $3 \bullet 4^x$

Solution

Problem 3

Solution

Problem 4

Solution

Problem 5

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

See also

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