Answer:
the next three terms in sequence are 32.4 , 97.2 and 291.6
Step-by-step explanation:
Given: the sequence 0.4, 1.2, 3.6, 10.8
To Find: next three numbers in the sequence
Solution:
in sequence 0.4, 1.2, 3.6, 10.8
ratio of every term to the next term is
=[tex]\frac{0.4}{1.2}=\frac{1.2}{3.6}=\frac{3.6}{10.8}=1:3[/tex]
therefore,
the next term to 10.8 in the sequence will be
= [tex]10.8\times3[/tex]
= [tex]32.4[/tex]
the next term to 32.4 in the sequence will be
= [tex]32.4\times3[/tex]
= [tex]97.2[/tex]
the next term to 97.2 in the sequence will be
= [tex]97.2\times3[/tex]
= [tex]291.6[/tex]
the next three terms in sequence are [tex]32.4 , 97.2 ,291.6 [/tex]
