1967 AHSME Problems/Problem 6: Difference between revisions
Created page with "== Problem == If <math>f(x)=4^x</math> then <math>f(x+1)-f(x)</math> equals: <math> \text{(A)}\ 4\qquad\text{(B)}\ f(x)\qquad\text{(C)}\ 2f(x)\qquad\text{(D)}\ 3f(x)\qquad\text{..." |
|||
| Line 5: | Line 5: | ||
== Solution == | == Solution == | ||
The desired expression is equal to <math>4^{x+1} - 4^{x}</math> | |||
Using the fact that <math>4^{x+1}</math>=<math>4^{x}*4</math>, we see that the answer is | |||
<math>3*4^{x}</math> | |||
<math>\fbox{D}</math> | <math>\fbox{D}</math> | ||
Revision as of 22:02, 27 March 2023
Problem
If 
then 
equals:
Solution
The desired expression is equal to 
Using the fact that 
=
, we see that the answer is
See also
| 1967 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
These problems are copyrighted © by the Mathematical Association of America. 
