2 years ago

Find the simplest pattern and insert the missing term(s) of each sequence. 4, 7, 12, 21, 38, ___

Mathematics

1 answer:

Arte-miy333 [17]2 years ago

7 0

Answer:

Step-by-step explanation:

4, 7, 12, 21, 38, ...

2+2=2¹+2
4+3= 2²+3
8+4= 2³+4
16+5= 2⁴+5
32+6= 2⁵+6

next term:

2⁶+7= 64+7=71

nth term:

2ⁿ+(n+1)

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Stels [109]

Answer:

Step-by-step explanation:

Rational number between 2 and 3 = $\frac{2+3}{2}=\frac{5}{2}$

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Now, find the rational number between 2 and 5/2

Rational number between 2 and 5/2 = $\frac{1}{2}(2 + \frac{5}{2})=\frac{1}{2}*(\frac{2*2}{1*2}+\frac{5}{2})=\frac{1}{2}(\frac{4}{2}+\frac{5}{2})=\frac{1}{2}*\frac{9}{2}=\frac{9}{4}$

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