two arithmetic progression has the same common difference.If the first term of the first progression is 3 and that of the other is 8,then the difference between their 3rd term is
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Given:
The first term of the first progression is 3 and common difference is d
3,3+d,3+2d...
The third term is 3+2d
The first term of the second progression is 8 and common difference is d
8,8+d,8+2d...
The third term is 8+2d
the difference between their 3rd term
=(3+2d)-(8+2d)
=3+2d-8-2d
=3-8
= -5
therefore ; the difference between their 3rd term is -5
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