Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour

# Check whether –150 is a term of the AP: 11, 8, 5, 2…

Let -150 is the $$n^{th}$$ of AP 11, 8, 5, 2… which means that , $$a_n = -150$$

Here, First term = a = 11,
Common difference = d
= 8 – 11 = –3

Using formula $$a_n = a + (n - 1)d$$, to find $$n^{th}$$ term of arithmetic progression,

$$\Rightarrow$$ -150 = 11 + (n - 1) (-3)
$$\Rightarrow$$ -150 = 11 - 3n + 3
$$\Rightarrow$$ 3n = 164
$$\Rightarrow$$ n = $${{164} \over {3}}$$

But, n cannot be in fraction.

So, -150 is not a term of this A.P.