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What is the $8^{th}$ term of the AP, $- 1, 3, 7, 11, 15 \dots$ ?

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27

18

20

23

answer is A.

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Detailed Solution

The given series is

- 1, 3, 7, 11, 15 .

From the series, we get
First term, a = –1.
Common difference,
d = 3 – (–1)

\Rightarrow

d= 4
We know that

n^{th}

term of an AP is given as,

t_{n} = a + (n - 1) d

.
So, the 8th term will be,

a_{8} = - 1 + (8 - 1) \times 4

{\Rightarrow a}_{8} = - 1 + 28

{\Rightarrow a}_{8} = 27

Therefore, the 8th term of the AP is 27.
Hence, the correct option is 1.

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