two ap have the same common difference . the first of one of these is -1 and that of the other is -8 .then the difference between their 4th terms is :
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Answer:
7
Step-by-step explanation:
In APs, nth terms is given by a + (n - 1)d, where a is first term and d is common difference.
As the com. dif. is same, let that be 'd'.
For AP with -1: 4th term is
= > - 1 + (4 - 1)d
= > - 1 + 3d
For AP with - 8: 4th term is
= > - 8 + (4 - 1)d
= > - 8 + 3d
Difference in their 4th term is:
= > (- 1 + 3d) - (- 8 + 3d)
= > - 1 + 3d + 8 - 3d
= > 8 - 1
= > 7
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