Explanation
To find the incorrect number in the sequence, let us evaluate the consecutive differences between the successive terms of the given series.
Step 1: Write down the position of each term
1st term=2
2nd term=5
3rd term=8
4th term=12
5th term=14
6th term=17
7th term=20
Step 2: Analyze the constant difference pattern
Let us check the differences between consecutive elements where the pattern appears steady:
The initial segments demonstrate a common constant difference of +3. This points towards an Arithmetic Progression (AP) with a common difference of d=3.
Step 3: Test the continuous +3 pattern throughout the series
If the sequence continues with an addition of 3 at each step:
1st term=2
2nd term=2+3=5
3rd term=5+3=8
4th term=8+3=11
5th term=11+3=14
6th term=14+3=17
7th term=17+3=20
Step 4: Identify the discrepancy
According to our verified arithmetic pattern, the 4th term should be 11.
However, in the given sequence, the 4th term is printed as 12.
Because 12 disrupts the logic (12−8=4 and 14−12=2), replacing it with 11 restores the perfect +3 uniformity across the whole chain.
Final Answer
The wrong term in the sequence is the 4th term.
Correct Option: (d) 4th