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4 years ago

1, 5, 25, 125, ... is the sequence geometric?find the Common ratio and the three terms in the sequence after the last one given.

Mathematics

1 answer:

nikitadnepr [17]4 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms.

5 ÷ 1 = 5, 25 ÷ 5 = 5, 125 ÷ 25 = 5

Since there is a common ratio between consecutive terms the sequence is geometric.

To obtain the next term in the sequence, multiply the previous term by 5

The next 3 terms after 125 are

125 × 5 = 625

625 × 5 = 3125

3125 × 5 = 15625

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3 years ago

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4 years ago