Question

How would i write the recursive definition of this sequence? -2,7,16,25

Answer 1

do you see any pattern ?

Answer 2

+9 every time

Answer 3

i assume the last number is 25

Answer 4

oh yea sorry i repeated 16 but yes the 4th term is 25

Answer 5

ok, now lets make a mathematical equation out of this statement
"The current term is 9 more than the previous term"

Answer 6

\(current ~term = a_n \\ previous~term = a_{n-1}\)

Answer 7

from that can you try to make an equation ?

Answer 8

\[a_{n}=(a_{n-1})+9?\]

Answer 9

is that even close?

Answer 10

thats it!
thats your explicit recursive formula :)

Answer 11

don't believe it ?

Answer 12

i do it makes sense now ^_^ thx

Answer 13

welcome ^_^