Question

Which term of the A.P. 27, 24, 21,…..is zero?​

Answer 1

Answer:

10th term

Step-by-step explanation:

Using the formula

a = 0

a1 = 27

d = 24-27 = -3

n = ?

0 = 27 + (-3)(n-1)

-27 = -3n +3

-30 = -3n

n = 10

Answer 2

$\sf{Solution}$

Given :-

27, 24 , 21 ..is zero

It is In AP

To find :-

We have to find that

Which term of AP is 0

Formula implemented:-

an = a+ (n-1) d

• Where an is the nth term

• d is the common difference
• a is the first term

Solution:-

27 , 24 , 21 ,...0

Here first term is 27

So, a = 27

Common difference can be find after term - before term

d = 24 -27

d = -3

or

d = 21 -24

d = -3

an = 0

• an = 0
• d = -3
• a = 27

Substuite in formula we get n value

an = a +(n-1)d

0 = 27 + (n-1) (-3)

0 = 27 -3n + 3

0 = 30 -3n

3n - 30 = 0

3n = 30

n = 30/3

n = 10

So, 0 is the 10th term of AP in given series