Use inductive reasoning to predict the next number in each list.a.2,4,6,8,10,?.b.1,1,2,3,5,8,13,?.c.0,3,8,15,24,35,?.d.2,4,8,16,32,64,?.e.1,8,27,64,125,?.f.-2,3,-4,5,-6,7,?g.-1,4,-9,16,-25,?.h.1/2,2/3,3/4,4/5,5/6,6/7,?.i.1/3,3/5,5/7,7/9,9/11,11/13,?.j.2,5,10,17,26,?
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Answer:
Step-by-step explanation:
Let's take the difference between every term and the term succeeding it
i.e.,
3-0=3,
8-3=5,
15-8=7,
24-15=9,
35-24=11,
These differences form a sequence which is in Arithmetic Progression (A.P) with the first term being 3, and the common difference being 2.
The sequence is 3,5,7,9,11,...
So obviously the next term would be 13 i.e., the difference between say 'x' and 35 is 13.
x-35=13
x=35+13=48
Similarly,
y-48=15
y=48+15=63
So the original sequence would be 0,3,8,15,24,35,48,63,...
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Answer:
do it you are self
Step-by-step explanation:
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