Answer:
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Explanation:
The first two numbers in the given geometric sequence are 5 and 10. To find the next two numbers, we need to identify the common ratio of the sequence.
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant ratio. In this case, we can find the common ratio by dividing the second term (10) by the first term (5).
10 ÷ 5 = 2
So, the common ratio is 2.
To find the next term, we multiply the second term (10) by the common ratio (2):
10 × 2 = 20
Therefore, the third term in the sequence is 20.
To find the fourth term, we multiply the third term (20) by the common ratio (2):
20 × 2 = 40
Therefore, the fourth term in the sequence is 40.
Hence, the next two numbers in the given geometric sequence are 20 and 40. We know this because we found the common ratio (2) and used it to multiply the previous term to obtain the next term.