A < 1 min read

In a sequence of numbers in which each term is 2 more than the preceding term, what is the fourth term?

1. The last term is 90.
2. The first term is 2.

Solution

Steps 1 & 2: Understand Question and Draw Inferences

In this question, we are given

• In a sequence of numbers, each term is 2 more than the preceding term.

We need to determine

• The value of the fourth term.

As each term is 2 more than the preceding term, the series is an example of an arithmetic progression.

Hence, to find the value of the fourth term, we need to know either the 1^st term or the value of any other specific term.

With this understanding, let us now analyse the individual statements.

 

Step 3: Analyse Statement 1

As per the information given in statement 1, the last term is 90.

• However, from this statement we don’t know which term is the last term.

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

 

Step 4: Analyse Statement 2

As per the information given in statement 2, the first term is 2.

As every term is 2 more than the previous term, we can say

• Second term = 2 + 2 = 4
• Third term = 4 + 2 = 6
• Fourth term = 6 + 2 = 8

As we can determine the value of the fourth term, we can say statement 2 is sufficient to answer the question.

 

Step 5: Combine Both Statements Together (If Needed)

Since we can determine the answer from statement 2 individually, this step is not required.

Hence, the correct answer choice is option B.