Answer:
The sequence of the given equation
4 , 1, -2 , -5, ......
∴ The given sequence is in Arithmetic progression ( A.P)
Step-by-step explanation:
Step(i):-
Given [tex]n^{th}[/tex] term of thesequence
f (n) = - 3n + 7
Put n = 1
first term a₁ = f (1 ) = - 3 (1 ) + 7 = - 3 + 7 = 4
Put n = 2
second term a₂ = f(2) = - 3 ( 2) + 7 = -6 +7 =1
Put n =3
Third term a₃ = f(3) = -3(3) +7 = -9 + 7 = -2
Put n =4
Fourth term a₄ = f(4) = -3(4) +7 = -12 + 7 = -5
Step(ii):-
The sequence of the given equation
4 , 1, -2 , -5, ......
first term a = 4 , d = 1 -4 = -3
The difference of two terms in this sequence is equal
∴ The given sequence is in Arithmetic progression ( A.P)
Final answer:-
The sequence of the given equation
4 , 1, -2 , -5, ......
∴ The given sequence is in Arithmetic progression ( A.P)
