Question

Is 105 term of A.P.4,9,14,19,...?

Answer 1

Yes it is the 21 yerm in AP series

Answer 2

Answer:

No, it isn't.

Step-by-step explanation:

Check whether 105 fits the equation for determining a term of an A.P:

term = a + (n-1)d

Here, d is 5 (9-4=5) and a is 4.

105 = 4 + (n-1)5

105 = 4 + 5n - 5

105 = (-1) + 5n

104 = 5n

104/5 = n= 20.8.

Now, n, or term number, has to be an integer for the number to be a term of the A.P. Here, it's 20.8, which isn't an integer. So 105 isn't a term of this A.P.

Hope this helped!