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bija089 [108]
4 years ago
11

Use inductive reasoning to find the next term in the sequence 1, 2, 4, 7, 11, 16… what is the next term?

Mathematics
1 answer:
navik [9.2K]4 years ago
5 0
Hello,

u_1=1\\
u_2=2\\
u_3=4\\
u_4=7\\
u_5=11\\
u_6=16\\

u_2-u_1=2-1=1\\
u_3-u_2=4-2=2\\
u_4-u_3=7-4=3\\
u_5-u_4=11-7=4\\
u_6-u_5=16-11=5\\
...
u_n-u_{n-1}=n-1\\

\boxed{u_n=u_{n-1}+n-1}\\

u_7=u_6+(7-1)=16+6=22\\








Answer C

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