Aaj hum Class 10 Maths – Arithmetic Progression (AP) ka ek important board level question solve karne wale hain jo exams me frequently pucha jata hai.

📌 Question

The 17th term of an AP exceeds its 10th term by 7. Find the common difference.

✏️ Concept Used – Arithmetic Progression (AP)

AP me nth term ka formula hota hai:

aₙ = a + (n−1)d

Jaha:

a = first term

d = common difference

n = term number

🧮 Step by Step Solution

🔹 Step 1: Given Information

17th term 10th term se 7 zyada hai.

Mathematically:

a17 - a10 = 7

🔹 Step 2: Formula Apply Karein

a17 = a + 16d

a10 = a + 9d

Ab difference nikalte hain:

 (a + 16d) -   (a + 9d) = 7

🔹 Step 3: Solve Karein

a + 16d - a - 9d = 7

7d = 7

d = 1

✅ Final Answer:

👉 Common Difference (d) = 1

📚 Short Trick (Exam Friendly Method)

Direct formula use karo:

an - am = (n - m)d

Yaha:

a17 - a10 = (17- 10)d

7 = 7d

d = 1

Ye method fast aur time-saving hai board exams ke liye ✅

❓ FAQs

Q1. AP me common difference kaise nikalte hain?

Do terms ka difference le kar formula apply karte hain:

aₙ − aₘ = (n − m)d

Q2. Kya first term ki value jaroori thi?

Nahi, kyunki question me sirf difference diya gaya tha.

Q3. Ye question board exam me aa sakta hai?

Haan, ye Class 10 Maths ke important AP questions me se ek hai.

Agar aap AP ke aur bhi similar questions practice karna chahte hain, to is question ka detailed solution bhi dekhein:

If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?