Question

The difference between 5th and 9th term of an arithmetic sequence is 20 what is the difference between the third and first term​

Answer 1

Answer:

bro sorry but I don't know

Answer 2

SOLUTION

GIVEN

The difference between 5th and 9th term of an arithmetic sequence is 20

TO DETERMINE

The difference between the third and first term

EVALUATION

Let first term = a and common difference = d

Thus we get

5 th term = a + 4d

9 th term = a + 8d

By the given condition

( a + 8d ) - ( a + 4d ) = 20

⇒ 4d = 20

⇒ d = 5

Now the difference between the third and first term

= ( a + 3d ) - a

= 3d

= ( 3 × 5 )

= 15

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