Question

Two APs have the same common difference. The first term of one of these is -1 and that of the other is -8. What is the difference between their 4 ℎ terms?

Answer 1

let the common difference be 'd'.

• then the fourth term of first series is given by ;

4th term: -1 + 3d ;

• now the fourth term of second series is given by ;

4th term: -8 + 3d;

the difference between the fourth terms to these two series is ;

=> (-1 + 3d) -(-8 + 3d) = 8 - 1

= 7

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