Question

the difference between 12th and 8th term of an arithmetic sequence is 20. Find the common difference.​

Answer 1

Answer:

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Correct option is

C

0

Let a be the first term and d be their common difference of the AP.

Then, nth term of the AP T

n

=a+(n−1)d

Given, 8×T

8

=12×T

12

=>8(a+(8−1)d)=12(a+(12−1)d)

=>8(a+7d)=12(a+11d)

=>2(a+7d)=3(a+11d)

=>2a+14d=3a+33d

=>a=−19d

So, T

20

=a+(20−1)d=−19d+19d=0

Step-by-step explanation:

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Answer 2

12th Term Of The AP - a+(12-1)d
8th Term Of The AP - a+(8-1)d
Subtract Them
[a+11d] - [a+7d] = 20
4d = 20
d = 5
Therefore, Common Difference Is 5