A < 1 min read

If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2?

1. Each odd-numbered term is either 0 or 2.
2. The 3rd term is 2.

Solution

Steps 1 & 2: Understand Question and Draw Inferences

In this question, we are given

• In a given sequence, the 1^st term is 0 and the 2^nd term is 1.

We need to determine

• In that sequence, whether the 5^th term is 2 or not.

As we do not have any information about the other elements present in the sequence or the pattern followed within the elements, let us now analyse the individual statements.

 

Step 3: Analyse Statement 1

As per the information given in statement 1, each odd numbered term in the sequence is either 0 or 2.

• Hence, the 5^th element can be either 0 or 2.
• But we can’t definitely say whether it is 2 or not.

Hence, statement 1 is not sufficient to answer the question.

 

Step 4: Analyse Statement 2

As per the information given in statement 2, the 3^rd term is 2.

• However, from this statement we do not get any pertinent information about the 5^th term.

Hence, statement 2 is not sufficient to answer the question.

 

Step 5: Combine Both Statements Together (If Needed)

From both statements 1 and 2 together, we get

• The 5^th element can be either 0 or 2.
• The 3^rd element is 2.

However, even after combining the statements, we cannot conclude whether 5^th element is 2 or not.

Hence, the correct answer choice is option E.