Question

Dla danych ciągów oblicz wyrazy podobne obok.

a) an=2n+3 a1,a2,a3

b) bn=n^+3n-1 b2,b8,b10

c) 3n-4

cn= -------- c1,c2,c9

n+1

Legenda - ------- kreska ułamkowa,^-do kwadratu,

Daje naj!!

Answer 1

a) a1=2*1+3=5

a2=2*2+3=7

a3=2*3+3=9

b) b2=2^(3*2)-1=63

b8=8^(3*8)-1=8^24-1

b10=10^(3*10)-1=10^30-1

c) c1=(2*1-4)/(1+1)=-1

c2=(3*2-4)/(2+1)=2/3

c9=(3*9-4)/(9+1)=2,3

 

 

Answer 2

a)

an=2n+3

a1=2*1+3= 2+3=5

a2=2*2+3=4+3=7

a3=2*3+3=6+3=9

b)

bn=n^ +3n-1

b2= 2^ +3*2-1= 4+6-1=9

b8= 8^ +3*8-1= 64+24-1=87

b10= 10^ +3*10-1= 100+30-1=129

c)

          3n-4

cn= ----------

           n+1

            3*1-4             -1

c1= --------------- = ----------

             1+1                 2

 

           3*2-4               6-4               2

c2= ------------- = ------------- = -----------

           2+1                    3                   3

 

             3*9-4             27-4           23                 3

c9= ---------------= -------------= ----------- = 2  ----

             9+1                 10               10                10