What is the recursive formula for the sequence 7, 1, -5, -11, -17

13 - 6n

Step-by-step explanation:

for the sequence 7, 1, -5, -11, -17

the sequence first term is 7

a= 7

Common difference (d) = T2 - T1 = T3 - T2

d = 1-7 = -5 -1

d = -6

Formula for nth term

Tn = a + (n-1)d

Tn = 7 + (n -1)-6

Tn = 7 -6n + 6

Tn = 13- 6n

= 13 - 6n

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step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!