Question

Write the expression of the common difference of an A.P. whose first term is a and nth term is b.

Answer 1

Answer:

The expression for the common difference of an A.P is d = (b - a) / (n–1)

Step-by-step explanation:

Given :  

The nth term of the A.P is 'b' and  whose first term is 'a'.

Let the  common difference be 'd' .

By using the formula nth term of an  A.P , an = a + (n - 1)d

⇒  b = a + (n–1) d

⇒ b - a = (n–1) d

⇒ d = (b - a) / (n–1)

Hence,the expression for the common difference of an A.P is d = (b - a) / (n–1)

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Answer 2

Step-by-step explanation:

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