Question

What is the recursive formula for this arithmetic sequence? –7, –1, 5, 11, ...

Answer 1

The common difference is -1-(-7) = 6. Since each term is 6 more than the last, the sequence is described by
  a(1) = -7
  a(n) = a(n-1) + 6 . . . n ≥ 2

Answer 2

Answer:

$a_{n}= a_{n-1} + 6$

Step-by-step explanation:

–7, –1, 5, 11, ......

LEts find out the difference

$-1-(-7)= 6$

$5-(-1)= 6$

$11 - 5=6$

So common difference is 6

General form of recursive for arithmetic sequence is

$a_{n}= a_{n-1} + d$ where d is the common difference

we know common difference d= 6

a_n-1 is the previous term , an is the next term

Recursive formula is 4

$a_{n}= a_{n-1} + 6$