Show that each of the following sequences is an A.P. Also, find the common difference and write 3 more terms in each case.
i. `3,\ -1,\ -5,\ -9...... `
ii. `-1,1//4,3//2, 11//4.....`

Explanation

(i) 3,−1,−5,−9……

`a_1`=3,`a_2`=−1,`a_3`=−5,` a_4`=−9

`a_2`−`a_1``=−1−3=−4`

`a_3`−`a_2``=−5−(−1)=−4`

`a_4`−`a_3``=−9(−5)=−4`

∴ Common difference is d= -4

`a_4`−`a_3`=`a_3`−`a_2`=a

∴ The given sequence is a A.P.
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