34.3k views
14 votes
What is the sequence of the n^"th" term equation f(n) = -3n +7 for n 1

User Chris Lear
by
8.3k points

1 Answer

13 votes

Answer:

The sequence of the given equation

4 , 1, -2 , -5, ......

∴ The given sequence is in Arithmetic progression ( A.P)

Explanation:

Step(i):-

Given
n^(th) 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)

User Zimmer
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories