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Next term of 80, 10, 70, 15, 60, ... is...

Next term of 80, 10, 70, 15, 60, ... is

A

20

B

25

C

30

D

50

Text Solution

AI Generated Solution

The correct Answer is:
To find the next term in the sequence 80, 10, 70, 15, 60, we can analyze the pattern step by step. ### Step 1: Identify the two separate sequences We can observe that the sequence alternates between two different patterns: - The first sequence consists of the numbers: 80, 70, 60 - The second sequence consists of the numbers: 10, 15 ### Step 2: Analyze the first sequence The first sequence is: - 80, 70, 60 To find the pattern: - From 80 to 70, we subtract 10. - From 70 to 60, we subtract 10. Continuing this pattern, we can predict the next term: - 60 - 10 = 50 ### Step 3: Analyze the second sequence The second sequence is: - 10, 15 To find the pattern: - From 10 to 15, we add 5. Continuing this pattern, we can predict the next term: - 15 + 5 = 20 ### Step 4: Combine the sequences Now we have: - The next term in the first sequence is 50. - The next term in the second sequence is 20. Since the original sequence alternates between these two sequences, the next term after 60 (the last number in the original sequence) will be from the second sequence. ### Final Answer Thus, the next term in the sequence is **20**. ---
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