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Find the next term in the following terms.
67, 92, 117, 142, 167, 192, ?
67, 92, 117, 142, 167, 192, ?
- a)223
- b)214
- c)217
- d)226
Correct answer is option 'C'. Can you explain this answer?
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Find the next term in the following terms.67, 92, 117, 142, 167, 192, ...
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Find the next term in the following terms.67, 92, 117, 142, 167, 192, ...
To find the next term in the given sequence, we need to look for a pattern or rule that governs the relationship between the terms. Let's analyze the given sequence step by step:
Step 1: Find the differences between consecutive terms.
- The difference between the first and second terms is 92 - 67 = 25.
- The difference between the second and third terms is 117 - 92 = 25.
- The difference between the third and fourth terms is 142 - 117 = 25.
- The difference between the fourth and fifth terms is 167 - 142 = 25.
- The difference between the fifth and sixth terms is 192 - 167 = 25.
We can observe that the differences between consecutive terms are all equal to 25. This suggests that the sequence follows an arithmetic progression with a common difference of 25.
Step 2: Use the common difference to find the next term.
- The last term in the given sequence is 192.
- To find the next term, we add the common difference of 25 to the last term: 192 + 25 = 217.
Therefore, the next term in the sequence is 217.
Hence, the correct answer is option 'C' (217).
Step 1: Find the differences between consecutive terms.
- The difference between the first and second terms is 92 - 67 = 25.
- The difference between the second and third terms is 117 - 92 = 25.
- The difference between the third and fourth terms is 142 - 117 = 25.
- The difference between the fourth and fifth terms is 167 - 142 = 25.
- The difference between the fifth and sixth terms is 192 - 167 = 25.
We can observe that the differences between consecutive terms are all equal to 25. This suggests that the sequence follows an arithmetic progression with a common difference of 25.
Step 2: Use the common difference to find the next term.
- The last term in the given sequence is 192.
- To find the next term, we add the common difference of 25 to the last term: 192 + 25 = 217.
Therefore, the next term in the sequence is 217.
Hence, the correct answer is option 'C' (217).
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Community Answer
Find the next term in the following terms.67, 92, 117, 142, 167, 192, ...
Each term increases by 25 ...i.e. 192+25=217
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Find the next term in the following terms.67, 92, 117, 142, 167, 192, ?a)223b)214c)217d)226Correct answer is option 'C'. Can you explain this answer?
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