NIMCET 2024 — Reasoning PYQ

To find the mean (average) of a set of numbers, we use the formula:

Step 1: Identify the Sequence

The sequence consists of consecutive integers starting from $2$ up to $n$:

Step 2: Find the Total Number of Observations ($k$)

The number of terms in a sequence from $a$ to $b$ is given by $(b-a+1)$.

Here, $a=2$ and $b=n$.

Step 3: Find the Sum of the Sequence

The sum of an Arithmetic Progression (AP) is:

Substituting our values:

Step 4: Calculate the Mean

Now, divide the Sum by the Number of terms ($n-1$):

The term $(n-1)$ in the numerator and denominator cancels out: