EXPLANATION
IQ7. What number is missing in the following sequence? 2, 5, 11, 20, __,
a) 29
b) 32
c) 35
d) 41
ANSWER: b) 32
EXPLANATION:
To find the missing number in the sequence, let's examine the differences between consecutive terms:
5 - 2 = 3
11 - 5 = 6
20 - 11 = 9
From these differences, we can observe that each difference is increasing by 3. Specifically, the differences are:
3, 6, 9, ...
To find the next difference, we add 3 to the previous difference:
9 + 3 = 12
Now, let's add this difference to the last term in the sequence:
20 + 12 = 32
Therefore, the missing number in the sequence is 32.
So, the correct number to complete the sequence is 32.