Question

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

NCERT Class X
Mathematics - Exemplar Problems

Chapter _ARITHMETIC PROGRESSIONS

Answer 1

a=31
d=28-31=-3
tn=a+(n-1)d
0=31+(n-1)(-3)
-31=-3(n-1)
31/3=n-1
n=(31+3)/3
n=34/3
as n is fractional therefore 0 is not a term of the AP

Answer 2

Answer:

Step-by-step explanation:

a=31

d=28-31

=-3

an=a+(n-1)d

0=31+(n-1)-3

-31=-3(n-1)

-31/3=(n-1)

n=(31+3)/3

n=34/3

Therefore 0 is not a term of the given ap