Series: 124 up to 10 terms

The series mentioned is "124 up to 10 terms". To find the last term of this series, we need to understand the pattern or rule followed by the series. Let's break down the problem into smaller steps to determine the pattern and find the last term.

Step 1: Identify the pattern
To identify the pattern, let's list the terms of the series:

124, __, __, __, __, __, __, __, __, __

By looking at the series, we can observe that each term is obtained by adding 1 to the previous term. Therefore, the pattern followed by the series is an arithmetic sequence with a common difference of 1.

Step 2: Find the common difference (d)
In an arithmetic sequence, the common difference (d) is the constant value added to each term to obtain the next term. In this case, the common difference is 1.

Step 3: Determine the formula
The general formula for the nth term of an arithmetic sequence is given by:

an = a1 + (n - 1)d

where:
an = nth term
a1 = first term
n = number of terms
d = common difference

Step 4: Calculate the last term
Now, we can substitute the given values into the formula to find the last term of the series:

a1 = 124 (given)
n = 10 (given)
d = 1 (common difference)

an = 124 + (10 - 1)(1)
= 124 + 9
= 133

Therefore, the last term of the series "124 up to 10 terms" is 133.

Summary:
The series "124 up to 10 terms" follows an arithmetic sequence with a common difference of 1. By using the formula for the nth term of an arithmetic sequence, we determined that the last term of the series is 133.