Missing number
A sequence follows a certain rule:
3, 6, 11, 18, 27, ? , 51
What is the missing number?
Word Problem
A bridge is built across a river. One quarter of the bridge is over the left bank of the river and one third of the bridge is over the right bank. The river is 120 m wide. How long is the bridge?
Let's analyze the pattern in the sequence:
ReplyDelete3, 6, 11, 18, 27, ?, 51
Step 1: Find the differences between consecutive terms.
6 - 3 = 3
11 - 6 = 5
18 - 11 = 7
27 - 18 = 9
The differences are 3, 5, 7, 9.
Step 2: Identify the pattern in the differences.
The sequence of differences increases by 2:
3, 5, 7, 9, 11, 13.
Step 3: Find the missing number.
The next difference should be 11.
27 + 11 = 38.
Step 4: Verify with the next term.
51 - 38 = 13 (which follows the pattern).
Thus, the missing number is 38.