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ddd [48]
4 years ago
11

33,30,27,24,21, what’s the next number

Mathematics
2 answers:
lora16 [44]4 years ago
4 0

Answer:

18

Step-by-step explanation:

Do you see a pattern? Each time it decreased by 3. 33-3=30, 30-3=27, the pattern goes on, just do the same with the last shown number. 21-3=18

fredd [130]4 years ago
4 0

Answer:

<h2>18</h2>

Step-by-step explanation:

It's an arithmetic sequence:

a_1=33\\\\a_2=33-3=30\\\\a_3=30-3=27\\\\a_4=27-3=24\\\\a_5=24-3=21\\\\\text{next number}\ a_6=21-3=18

If you need calculate any term of this sequence, then you must define an explicit formula of this sequence.

The explicit formula of an arithmetic sequence:

a_n=a_1+(n-1)d

<em>d</em><em> - common difference</em>

We have

d=-3,\ a_1=33

Substitute:

a_n=33+(n-1)(-3)            <em>use the distributive property</em>

a_n=33+(n)(-3)+(-1)(-3)\\\\a_n=33-3n+3\\\\a_n=36-3n

Therefore, the next number is 6th number. Substitute <em>n = 6:</em>

a_6=36-3(6)=36-18=18

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