Question

which term of the AP 27, 24,21,.....0​

Answer 1

Answer:

10th term of this ap will be zero

Step-by-step explanation:

an = a+(n-1)d

0=27+(n-1)-3 here d=24-27 =-3

-27/-3 = n-1

9=n-1

n=10

Answer 2

Given:

• First term = a = 27
• Common Difference = d = 24 - 27 = -3
• aₙ = 0

To find:

n = ?

Method:

$\sf{a_n = a + (n-1)d}\\\\\longrightarrow \: \sf{0 = 27+(n - 1)-3}\\\\\\\longrightarrow \: \sf{0 = 27 - 3n + 3}\\\\\\\longrightarrow \: \sf{0 = 30-3n}\\\\\\\longrightarrow \: \sf{3n=30}\\\\\\\longrightarrow \: \sf{n = \dfrac{30}{3}}\\\\\\\longrightarrow \: \boxed{\bf{n = 10}}$

∴ Tenth term of the A.P is 0

Additional Information:

1. For finding the sum of n terms i.e. Sₙ = n/2(2a + (n - 1)d)
2. Number series that progresses in 1 particular manner is called Arithmetic Progression.
3. General form of A.P → a, (a + d), (a + 2d), (a + 3d)...