Arithmetic Progressions - Short Revision || CBSE Class 10 - Mathematics || Infinity Learn Class 9&10

TL;DR

Answer multiple-choice questions (MCQs) related to arithmetic progressions, covering basic concepts and formulas.

Transcript

hello everybody now let's do some mcqs in the chapter arithmetic progressions so let's start with it so one of the basic questions which can get in an AP uh so see over here the first three terms of an AP respectively are this and this and this then we have to find the value of Z AP obviously means arithmetic progression needless to say so these th... Read More

Key Insights

• ⁉️ Understanding the concept of arithmetic progressions is essential for solving related questions.
• 🍉 The difference between consecutive terms in an arithmetic progression is constant.
• 🍉 Formulas for finding the nth term and the sum of the first n terms can be used to solve MCQs involving arithmetic progressions.

Questions & Answers

Q: How can the value of Z be found in the first MCQ?

In an arithmetic progression, the difference between a term and its previous term is constant. By equating the differences of the given terms, the equation can be simplified to solve for Z, which is determined to be -4.

Q: How can the 12th term of an AP be calculated in the second MCQ?

With the formula for the nth term of an AP, the 7th term and 5th term are substituted to obtain two equations. Simplifying the equations leads to dividing the sum by 2, giving the 12th term as 0.

Q: What is the formula used to find the nth term from the end of an AP in the third MCQ?

The formula is L - n - 1 * d, where L represents the last term of the AP. By substituting the given values and evaluating the expression, the 21st term from the end of the AP is determined to be -2.

Q: How can the 12th term of an AP be found when the sum of the first n terms is given in the fourth MCQ?

By first obtaining the values of the first term (S1 = A1), the second term (S2 = A1 + A2), and the common difference (D = A2 - A1), the 12th term can be calculated using the nth term formula. In this case, the 12th term is equal to 118.

Summary & Key Takeaways

• Solve an MCQ that asks to find the value of a variable in an arithmetic progression equation.

• Determine the 12th term of an AP when given the 7th and 5th terms.

• Calculate the 21st term from the end of an AP when given the last term and common difference.

• Find the 12th term of an AP when given the sum of the first n terms and the common difference.