Which tile goes where?

Instructions:Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Match each sequence to its appropriate recursively defined function.

enter image source here

1 Answer
Jim G.
Jun 22, 2018

#"see explanation"#

Explanation:

#"for sequence "13color(white)(x)39color(white)(x)65color(white)(x)91#

#"the recursive relation is "#

#f(n)=f(n-1)+26#

#"since "f(1)=13larrcolor(blue)"given"#

#f(2)=f(1)+26=13+26=39#

#f(3)=f(2)+26=39+26=65#

#f(4)=f(3)+26=65+26=91#

#"note "f(n)=3f(n-1)" does not generate the sequence"#

#"for sequence "28color(white)(x)-112color(white)(x)448color(white)(x)-1792#

#"the recursive relation is"#

#f(n)=-4f(n-1)#

#"since "f(1)=28larrcolor(blue)"given"#

#f(2)=-4xxf(1)=-4xx28=-112#

#f(3)=-4xxf(2)=-4xx-112=448#

#f(4)=-4xxf(3)=-4xx448=-1792#

#"note that "f(n)=f(n-1)-84" is not the relation"#

#"for the sequence "-24color(white)(x)-96color(white)(x)-384color(white)(x)--1536#

#"the recursive relation is"#

#f(n)=4f(n-1)#

#"since "f(1)=-24larrcolor(blue)"given"#

#f(2)=4xxf(1)=4xx-24=-96#

#f(3)=4xxf(2)=4xx-96=-384#

#f(4)=4xxf(3)=4xx-384=-1536#

#f(n)=-4f(n-1)" is not the relation"#

Related questions
Impact of this question
2218 views around the world
You can reuse this answer
Creative Commons License