Question

What’s the Nth term of 10, 7, 4, 1...

Answer 1

Answer:

The nth term of the given sequence is (13 - 3n).

Step-by-step explanation:

Given sequence :

10, 7, 4 , 1, ...

To find :

the nth term

Solution :

⇒ The Arithmetic Progression is a sequence of terms where each term is obtained by adding a constant to the preceding term.  

⇒ The given sequence is an Arithmetic Progression since each term is obtained by adding '-3' to the preceding term.

The first term, a = 10

common difference, d = 7 - 10 = -3

The nth term of an A.P is given by,

$\longmapsto \boxed{\bf a_n=a+(n-1)d}$

Substitute the values,

aₙ = 10 + (n - 1)(-3)

aₙ = 10 - 3n + 3

aₙ = 13 - 3n

∴ The nth term of the given sequence is (13 - 3n)