Question

Write a recursive formula for the sequence.
11, 7, 3, -1, ...

Answer 1

Answer:-4

Step-by-step explanation:

11,7,3,-1,-5,......they have a difference of -4

11-4=7

7-4=3

3-4=-1

-1-4=-5

Answer 2

Recursive formula for the given sequence is $a_{n}=a_{n-1}-4$

What is Recursive formula?

A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).

Consider

The first term $a_{1} =11$

second term $a_{2}=7$

Common difference = 7-11 = -4

Third term $a_{3}=3$

Common difference = 3-7 =- 4

Fourth term $a_{4}=-1$

Common difference = -1-3= -4

Then the formula for the sequence is $a_{n}=a_{n-1}-4$

Hence, the Recursive formula for the give sequence is $a_{n}=a_{n-1}-4$

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