Question

Is 0 a term of the AP:31,28,25,....? Justify your answer ​

Answer 1

Answer:

0 is not a term of the given A.P  

Step-by-step explanation:

Arithmetic Progression :

• It is the sequence of numbers such that the difference between any two successive numbers is constant.

Given AP : 31 , 28 , 25 , ...

first term, a = 31

common difference, d = 28 - 31 = -3

Let nth term be zero.

nth term of an A.P is given by

 $\longrightarrow \underline{\bf a_n=a+(n-1)d}$

Substitute the values,

 0 = 31 + (n - 1)(-3)

 0 = 31 - 3n + 3

 0 = 34 - 3n

 3n = 34

  n = 34/3

n is not positive integer. Hence 0 is not a term of the A.P 31, 28 , 25 , ...