 |
| ||
| |||
|
| Math Central | Quandaries & Queries |
|
Question from Yo: x; 2x+1; 11 are three consecutive terms of an arithmetic sequence. Calculate x |
Hi,
Since this is an arithmetic sequence there is a number $d.$ called the common difference, so that the difference between each pair of successive terms is $d.$ Thus for the first and second terms,
\[2x - 1 - x = d.\]
What is a similar equation that comes from the second and third terms?
Solve for $x.$
Penny
| ||
| ||
| ||
 |
 |
|
|
||
 |
||
| * Registered trade mark of Imperial Oil Limited. Used under license. | |
|
Math Central is supported by the University of Regina and the Imperial Oil Foundation.