Question

(1) What is the common difference (d) of the A.P. 7, 1, -5, -11, ...?​

Answer 1

Answer:

first term (a) = 7 common difference (d) = 7-1 = 6

Answer 2

Answer:

Given: A.P. 7, 1, -5, -11, ...

To find: common difference (d) of the A.P. 7, 1, -5, -11, ...

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Solution:

• To find the common difference we need to subtract 1st term(a) of the A.P from the next term i.e 2nd term (or) subtract the 2nd term of the A.P from the next term i.e 3rd term and so on...

So, the first term(a) of the A.P is 7 and the second term of the A.P is 1

• We get, 1 - 7 = -6

Hence, -6 is the common difference(d) of the A.P

Remark: We use the notation 'd' for common difference and 'a' for the first term.

∴ The common difference (d) of the A.P. 7, 1, -5, -11, ... is -6

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