Question

Write a recursive rule for the sequence an=-4+4n

Answer 1

Answer:

$a_{1}=0$ and

$a_{n}=a_{n-1}+4$

Step-by-step explanation:

The sequence is given by $a_{n} =-4+4n$.

Now, putting n = 1, $a_{1}=-4+4 (1)=0$.

Now, putting n = 2, $a_{2}=-4+4(2)=4$

Therefore, $a_{2}=a_{1}+4$ .........(1)

Again, putting n = 3, $a_{3}=-4+4(3) =8$

Therefore, $a_{3}=a_{2}+4$ .......... (2)

Hence, from equations (1) and (2), we can write

$a_{1}=0$ and

$a_{n}=a_{n-1}+4$

So, this above relation gives the recursive rule for the given sequence. (Answer)