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mr Goodwill [35]
3 years ago
9

Consider Akelia’s sequence 5, 8, 11, 14, 17, ….

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

It would be 20

Step-by-step explanation:

As we can see, the sequence starts from 5 and increases by three each time. In fact, one possible formula for that sequence could be:

a_n=3n+2\hspace{10}n\in N

Let's confirm the formula by evaluating the first 6 terms:

a_1=3(1)+2=3+2=5\\a_2=3(2)+2=6+2=8\\a_3=3(3)+2=9+2=11\\a_4=3(4)+2=12+2=14\\a_5=3(5)+2=15+2=17\\a_6=3(6)+2=18+2=20

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