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45 votes
Write a function that represents the sequence 10, 20, 30, 40, 50

User Jorawar Singh
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1 Answer

25 votes
25 votes

Okay, here we have this:

Considering the sequence 10, 20, 30, 40, 50; let's identify the difference between each term:

20-10=10

30-20=10

40-30=10

50-40=10

Here we can see that the difference is always the same, so we obtain the following function:

a(n)=a1+d(n-1) (Where "n" is the position of the term of the sequence that we want to know)

a(n)=10+10(n-1)

For example, let's find the 5th term of the sequence, so we need to replace n with 5:

a(n)=10+10(n-1)

a(n)=10+10(n-1)

a(5)=10+10(5-1)

a(5)=10+10(4)

a(5)=10+40

a(5)=50

Here we obtain that the 5th term of the sequence is 50.

User Hungerstar
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