Question

what is the common difference of an ap A 10 - A8=42​

Answer 1

Step-by-step explanation:

Let the common difference of an A.P. be d.

Then,

a

18

=a

1

+17×d

a

14

=a

1

+13×d

Solving the two equations,

a

18

−a

14

=a

1

+17d−a

1

−13d

⇒a

18

−a

14

=4d

Substituting 4d=32,

⇒d=8

Answer 2

An arithmetic sequence is a sequence that has the property that the difference between any two consecutive terms is a constant. This constant is called the common difference. If a1 is the first term of an arithmetic sequence and d is the common difference, the sequence will be: {an}={a1,a1+d,a1+2d,a1+3d,…}

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