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What is the relationship between the terms in the pattern? 0.006, 0.06, 0.6, 6

User Chrystian
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2 Answers

7 votes
they're going up by tenths
User Emenegro
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7.2k points
2 votes

Answer:

Each term is the previous one multiplied by 10

In math notation:


a_n=10(a_(n-1))

Explanation:

Notice if we multiply the first term by 10 we get the second:

0.006*10 = 0.06

Similarly the second term by 10 yields to the third term:

0.06*10 = 0.6

And the third term by 10 yields to the last term in the pattern:

0.6*10 = 6

If we call the n-th term
a_n

Then notice it is got by multiplying it by the previous term
a_(n-1)]

So:
a_n=10(a_(n-1))

User Yuke
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7.8k points

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