Question

BRAIN LIST ON THE LINE... Find the 52nd term of the arithmetic sequence -8, -12, -16, ...

Answer 1

Answer:

-212

Step-by-step explanation:

From given we can say that,

$a_{1} = - 8$

$a_{2} = - 12$

$a_{3} = - 16$

$d = a_{2} - a_{1}$

$d = - 12- ( - 8)$

$d = - 12 + 8$

$d = - 4$

$n = 52$

To find:

$a_{52}$

Proof:

We know that formula for finding the nth term of an AP, i.e,

$a_{n} = a_{1} + (n - 1)d$

Here, the question asks the 52nd term hence our n is 52.

On substituting all the given value, we have,

$a_{52} = (- 8) + (52 - 1)( - 4)$

$a_{52} = - 8 + (51)( - 4)$

$a_{52} = - 8 - 204$

$a_{52} = - 212$

Therefore, our required 52nd term of the AP is -212.

Hope it helps you.

Good Luck.

Answer 2

Answer:-212

Step-by-step explanation: