Question

state whether given sequence is an A.P or not and write the common difference

-3, 0, 6, 3, 6
with steps please​

Answer 1

common difference doesn't make it as an Arithemetic sequence. it was not in a proper cd it's adding 6 then 3 Nd again 6... so not an As

cd = 6-3=3 ,3-6=-3 so it doesn't belongs to this sequence.

hope this helps u

Answer 2

Given: $\red\bigstar$

• A.P. = -3,0,6,3,6,......

Find: $\pink\bigstar$

• State wether given term is in A.P. or not

Solution: $\green\bigstar$

we, have

$\hookrightarrow\sf - 3,0,6,3,6$

where,

• a = -3

So,

➢ $\sf d_1 = a_2 - a_1$

➢ $\sf d_1 = 0 - (-3)$

➢ $\sf d_1 = 0+3$

➢ $\sf d_1 = 3$

So, $\sf d_1 = 3 \green\bigstar$

Now,

➢ $\sf d_2 = a_3 - a_2$

➢ $\sf d_2 = 6 - 0$

➢ $\sf d_2 = 6$

So, $\sf d_2 = 6 \red\bigstar$

Here, $\sf d_1$ ≠ $d_2$

So, The given sequence is not in an A.P.