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maks197457 [2]
2 years ago
15

Complete the patterns of equivalent ratios by filling in the gaps.

Mathematics
1 answer:
topjm [15]2 years ago
7 0

Answer:

64:16

32:8

16: 4

8:2

4:1

Step-by-step explanation:

Looking at the pattern, we have to multiply the value on the right by 4 to get the value on the left

Also, as we go down, we divide each of either sides by 2 to get the next term

in line

So we fill in the ratio as follows;

64:16

32:8

16: 4

8:2

4:1

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Can't figure out this problem can anyone help if so thank you
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Answer:

10th term of the sequence = 0.537

Step-by-step explanation:

First three terms of the sequence are → 5, 4, \frac{16}{5}..........

Ratio of 2nd and 1st term of the sequence = \frac{4}{5}

Ratio of 3rd and 2nd term of the sequence = \frac{\frac{16}{5} }{4}

                                                                        = \frac{4}{5}

Therefore, ratio between every successive term to the previous term is common.

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Therefore, nth term of the given term will be  T_n=5(\frac{4}{5})^n

Now we have to find the 10 term of the given sequence.

For n = 10,

T_{10}=5(\frac{4}{5})^{10}

      = 0.53687

      ≈ 0.537

Therefore, 10th term of the sequence is 0.537

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Answer:

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Step-by-step explanation:

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6 0
2 years ago
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