Question

find the common difference of an A.P whose nth term is a nth and a25-a19=42​

Answer 1

Answer:

-4

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Answer 2

The common difference of the A.P is 7.

Given,

The nth term of an A.P is aₙ and a₂₅-a₁₉ = 42.

To Find,

The common difference of the A.P.

Solution,

It is given that a₂₅-a₁₉ = 42

The formula for calculating the nth term of an A.P is

aₙ = a+(n-1)d, where n is the number of terms.

So,

a₂₅ = a+24d

a₁₉ = a+18d

So, substituting the values

a₂₅-a₁₉ = a+24d-(a+18d) = 42

a+24d-a-18d = 42

6d = 42

d = 42/6

d = 7

Hence, the common difference of the A.P is 7