Question

Given the following sequence determine whether it is arithmetic progression or not. If it is an

Arithmetic Progression , find its general term. : 5 , 2 , -2 , -6 , -11 ,​

Answer 1

Answer:

Not A.P.

Step-by-step explanation:

Given sequence is;

5 , 2 , -2 , -6 , -11 ,​

To determine whether it is A.P or not:
d = t2- t1 = t3 -t2

where, t1 = 5, t2 = 2, t3 = -2

Now,

t2-t1=t3-t2

or, 2 - 5 = -2 -2

or, -3 = -4

Since, t2 - t1 ≠ t3 - t2. So the sequence is not an A.P.