13-2

Recursive Definitions( Recursive means define interms of what came before)

tn-1/previous terms/ tn=tn-1 - 3

tn-2/two terms back

tn-3/three less than preceding term

Ex:1 tn=4tn-1 +1 and t1=7 find the 3,4,5 terms.

t2=4(7) + 1=29

t3=4(29)+1=117

t4=4(117)+1=469

t5=4(469)+1=1877

Ex:2 Give a recursive definiton for 7,10,13,16..

• since the pattern is +3, the definition would be tn=tn-1 + 3