Class 10 Maths Arithmetic Progression (AP) – Which Term Is 78? | Video & Image Solution

Arithmetic Progression (AP) is an important chapter in Class 10 Maths and frequently asked in board exams. In this post, we solve the question: Find the number of terms in each of the following APs:18, 15½,13 ......., 47? using a clear, step-by-step method based on NCERT concepts. This problem helps students understand the formula of the nth term of an AP and how to apply it correctly in exam-oriented questions.

To make learning easier and more effective, this post includes a complete video solution explaining each step in a simple way, along with a well-labeled image solution for quick revision. These resources are ideal for CBSE,PSEB,UPBOARD,BIHARBOARD,HARYANABOARD,MPBOARD,ALLSTATEBOARD Class 10 students preparing for board exams, school tests, and competitive exams.

Question:- Find the number of terms in each of the following APs:18, 15½,13 ......., 47.

🎥 Watch Detailed Video Solution:

Find the number of terms in each of the following APs:18, 15½,13 ......., 47.

solutions:- 

Step 1: Identify the values

First term (a) = 18

Second term = 15½ = 15.5

Common difference (d) = 15.5 − 18

d = -2.5

Last term (l) = -47

Step 2: Use nth term formula

an = a + (n-1)d

-47 = 18 + (n-1)(-2.5)

Step 3: Solve the equation

-47 = 18 - 2.5(n-1)

-47-18 = - 2.5(n-1)

-65 = - 2.5(n-1)

-65/-2.5 = n-1 

26 = n-1

n= 26 + 1

n = 27

Final Answer = 27

The given AP has 27 terms.

Class 10 Maths Arithmetic Progression (AP) – Which Term Is 78? | Video & Image Solution

Arithmetic Progression (AP) is an important chapter in Class 10 Maths and frequently asked in board exams. In this post, we solve the question: Which term of the AP 3, 8, 13, 18, … is 78? using a clear, step-by-step method based on NCERT concepts. This problem helps students understand the formula of the nth term of an AP and how to apply it correctly in exam-oriented questions.

To make learning easier and more effective, this post includes a complete video solution explaining each step in a simple way, along with a well-labeled image solution for quick revision. These resources are ideal for CBSE,PSEB,UPBOARD,BIHARBOARD,HARYANABOARD,MPBOARD,ALLSTATEBOARD Class 10 students preparing for board exams, school tests, and competitive exams.

Q. Which term of the AP : 3, 8, 13, 18, . . . ,is 78?

Video Answer:- 

Question:- Which term of the AP : 3, 8, 13, 18, . . . ,is 78?

Image Answer:-

 Class 10 Maths Arithmetic Progression (AP) | Video & Image Solution

Arithmetic Progression (AP) is an important chapter in Class 10 Maths and frequently asked in board exams. In this post, we solve the question: Find the number of terms in each of the following APs: 7,13,19.......205? using a clear, step-by-step method based on NCERT concepts. This problem helps students understand the formula of the nth term of an AP and how to apply it correctly in exam-oriented questions.

To make learning easier and more effective, this post includes a complete video solution explaining each step in a simple way, along with a well-labeled image solution for quick revision. These resources are ideal for CBSE,PSEB,UPBOARD,BIHARBOARD,HARYANABOARD,MPBOARD,ALLSTATEBOARD Class 10 students preparing for board exams, school tests, and competitive exams.

Question:- Find the number of terms in each of the following APs: 7,13,19.......205.

Video Answer:- 

Find the number of terms in each of the following APs: 7,13,19.......205.

Solution:-