Question

find the common difference of
a10-a5=200.​

Answer 1

Answer:

(a+9d) - (a+4d) = 200

a+9d - a - 4d = 200

5d = 200

d = 200/5

d=40

Answer 2

The value of the common difference is 40

Given

• a10-a5=200

To find

• common difference

Solution

we are provided with the equation containing 10th term and 5th term of an arithmetic progression and a rascal to find the common difference of the arithmetic progression

the answer of the question could be estimated by employing the standard equation of nth term of arithmetic progression and substituting the known values in it.

a10 = a + 9d

and

a5 = a + 4d

now,

a10-a5=200

or, a + 9d - (a + 4d) = 200

or, 9d - 4d = 200

or, 5d = 200

or, d = 40

therefore the value of the common difference is 40

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