[14], The next number in the sequence 1,2,4,7,11 is __ (A) 12 (B) 14 (C) 16 (D) 18

To find the next number in the sequence $1, 2, 4, 7, 11$, we need to identify the pattern in the sequence.<br /><br />Let's examine the differences between consecutive terms:<br />$2 - 1 = 1$<br />$4 - 2 = 2$<br />$7 - 4 = 3$<br />$11 - 7 = 4$<br /><br />We can see that the differences between consecutive terms are increasing by 1 each time. This suggests that the sequence is formed by adding an increasing integer to the previous term.<br /><br />To find the next number in the sequence, we need to add the next integer (which is 5) to the last term (11):<br />$11 + 5 = 16$<br /><br />Therefore, the next number in the sequence is 16.<br /><br />The correct answer is (C) 16.