Question

Two AP’s have the same common difference. The first term of one of these is – 1 and that of the

other is – 3. The difference between their second term is​

Answer 1

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Given :

• There are 2 arithmetic progressions(AP)
• The common difference of both AP's is same.
• First term of AP1 = -1
• First term of AP2 = -3

To Find :

• The difference between second terms of both AP's

Solution :

Let AP's be

1st AP → a1, a2, a3, ....

2nd AP → b1, b2, b3, ....

As it is given, the common difference(d) of both AP's is same.

Second term of AP1 = a1 = (- 1 - d)

Second term of AP2 = b1 = (-3 - d)

From the question, we can say that the difference between first terms of AP's is equal to the difference between second terms.

i.e, a2- b2 = -3 -(- 1)

a2 - b2 = -2

Therefore,

difference between second terms of AP's = -2