A Comprehensive Guide to 12th Business Maths Exercise 9.2 Solutions

A Comprehensive Guide to 12th Business Maths Exercise 9.2 Solutions

Are you struggling with Exercise 9.2 of 12th Business Maths? Don’t worry, you are not alone. Many students find it challenging to solve problems related to series, and it’s essential to understand the concepts and formulas to excel in mathematics. In this comprehensive guide, we’ll explore the Exercise 9.2 solutions step by step to help you understand the topic with ease.

Understanding the Concept of Series

Before we dive into the Exercise 9.2 solutions, let’s refresh our memory on the concept of series. A series is a sum of terms in a sequence. In mathematical terms, a series is the sum of an infinite sequence. It can either converge or diverge based on the value of the sum. A convergent series has a finite value, whereas a divergent series has an infinite value.

Formula for the Sum of n Terms of an AP

To solve Exercise 9.2 of 12th Business Maths, we first need to understand the formula for the sum of n terms of an AP (Arithmetic Progression). The formula is:

S_n = n/2[2a + (n-1)d]

Where,
S_n = Sum of n terms,
a = First term,
d = Common difference.

Step-by-Step Solutions for Exercise 9.2

Now, let’s explore the Exercise 9.2 solutions step by step for better understanding:

Question 1:

Find the sum of the first six terms of an AP whose first term and common difference are 4 and 2, respectively.

Solution:

Given, a = 4, d = 2, n = 6

S_6 = 6/2[2(4) + (6-1)(2)]
= 3[8 + 10]
= 54

Therefore, the sum of the first six terms of an AP is 54.

Question 2:

Find the sum of the first 15 terms of an AP whose first term is 7 and the common difference is 6.

Solution:

Given, a = 7, d = 6, n=15

S_15 = 15/2[2(7) + (15-1)(6)]
= 15/2[14 + 84]
= 15/2 x 98
= 735

Therefore, the sum of the first fifteen terms of an AP is 735.

Conclusion

In conclusion, Exercise 9.2 of 12th Business Maths may seem tricky, but understanding the concept and formulas will help you solve the problems without any difficulty. Remember to go through the steps and practice regularly to excel in mathematics. We hope this comprehensive guide on Exercise 9.2 provided a better understanding of the topic and helped you solve the problems with ease.