Saturday, June 27, 2009

`4, 9, 14, 19, 24` Determine whether the sequence is arithmetic. If so, find the common difference.

In an arithmetic sequence, the difference between any two consecutive numbers is same, that difference is called as common difference. 


Given sequence is 4,9,14,19,24....


So lets find out the common difference


common difference  `d= a_n - a_(n-1)`



`a_2 - a_1 = 9 - 4 = 5 `



`a_3 - a_2 = 14 - 9 = 5 `



`a_4 - a_3 = 19 - 14 = 5 `



`a_5 - a_4 = 24 - 19 = 5 `


The common difference of the sequence is same. So, the given sequence is an arithmetic sequence.

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