Question

Find common difference of ap whose first term is 12 and fifth term is 0

Answer 1

given first term, a = 12...(1)

fifth term, a + 4d = 0

12+4d =0 (from (1))

4d = -12

d = -3

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Answer 2

Answer:

The common difference of the Arithmetic Progression is - 3.

Step-by-step explanation:

Given:

First term of the Arithmetic progression(a) = 12

Fifth term of the Arithmetic Progression(a5) = 0

5 th term of the of the AP can be written as:

=> a + (5 - 1 )d = 0

=> a + 4d = 0

We know that a = 12 so we can substitute the value of a in this formula:

=> 12 + 4d = 0

=> 4d = - 12

d = $\frac{-12}{4}$

d = - 3

Therefore, the common difference(d) of the Arithmetic Progression is - 3.