Question

Assertion (a) Common difference of the Ap -5,-1,3,7...is 4
Reason (r) Common difference of that Ap a,a+d,a+2d,..... is given by d=2nd term -1st term


Option
(a) Both A and R are true and R is the correct explanation for A
(b) Both A and R are true and R is not the correct explanation for A
(c) A is true but R is false.
(d) A is false but R is true


which one is the right answer please tell me

Answer 1

Answer:

correct option is A. you can find ap you get 4 common difference.

Answer 2

(a) Both A and R are true and R is the correct explanation for A.

• A term which is called common difference is used in the case of arithmetic progressions and sequences. One example of sequence in real life is the commemoration of birthdays of individuals. In this instance, there is typically a one-year gap between consecutive celebrations of the same person.
• The difference between any term and its preceding term is an arithmetic sequence's is referred to as the common difference. An arithmetic sequence always adds (or subtracts) the same amount to go from one term to the next.
• The amount that is added (or removed) at each point in an arithmetic progression is referred to as the "common difference" because, if we subtract (that is, if we determine the difference of) succeeding terms, we will always arrive at this common value.

Here, the common difference of the given series is,

7 - 3 = 4.

Then, we can say that both the assertion as well as the reason holds to be true.

Hence, option a is correct.

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