What is the next term in the sequence: 3, 6, 11, 18, ?

₹0.0

Question: What is the next term in the sequence: 3, 6, 11, 18, ?

Options:

Correct Answer: 26

Solution:

The differences are 3, 5, 7, which increase by 2 each time. 18 + 8 = 26.

What is the next term in the sequence: 3, 6, 11, 18, ?

What is the next term in the sequence: 3, 6, 11, 18, ?

Step 1: Look at the sequence: 3, 6, 11, 18.
Step 2: Find the differences between each pair of numbers in the sequence.
Step 3: Calculate the first difference: 6 - 3 = 3.
Step 4: Calculate the second difference: 11 - 6 = 5.
Step 5: Calculate the third difference: 18 - 11 = 7.
Step 6: Now we have the differences: 3, 5, 7.
Step 7: Notice that the differences are increasing by 2 each time: 3 + 2 = 5, 5 + 2 = 7.
Step 8: The next difference should be 7 + 2 = 9.
Step 9: Add this next difference to the last number in the sequence: 18 + 9 = 27.
Step 10: Therefore, the next term in the sequence is 27.

No concepts available.