Question
Check whether the following sequence is in A.P.
1, –1, 1, –1, 1, –1, …
1, –1, 1, –1, 1, –1, …
✓
Answer
1, –1, 1, –1, 1, –1, …
$t_2-t_1=-1-1=-2$
$t_3-t_2=1-(-1)=1+1=2$
$t_4-t_3=-1-(1)=-1-1=-2$
$t_5-t_4=1-(-1)=1+1=2$
Common difference are not equal
∴ The sequence is not an A.P.
$t_2-t_1=-1-1=-2$
$t_3-t_2=1-(-1)=1+1=2$
$t_4-t_3=-1-(1)=-1-1=-2$
$t_5-t_4=1-(-1)=1+1=2$
Common difference are not equal
∴ The sequence is not an A.P.
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