Question

=

-5:
These are the first six terms of a sequence with a
-5, 8, 21, 34, 47, 60, ...
Find a recursive formula for this sequence that is valid for n > 1.
Write your answer in simplest form.

Answer 1

Tn=13n-18

Explanation:

Tn=-5(n-1)13

Simplify

this is using the a+(n-1)d

Answer 2

Good morning ☕️

Answer:

U1 = -5

Un = Un-1 + 13 when n≥2

Explanation:

-5, 8, 21, 34, 47, 60

60-47=13

47-34=13

34-21=13

21-8=13

8-(-5)=13

then the common differences q for this arithmetic sequence Un is 13

Then the recursive formula is:

U1 = -5

Un= Un-1 + r when n≥2

U1 = -5

Un= Un-1 + 13 when n≥2

:)