Question

15.ਜੇ p, q ਅਤੇ r ਇੱਕ ਅੰਕ ਗਣਿਤਿਕ ਲੜੀ, ਜਿਸਦਾ ਸਾਂਝਾ ਅੰਤਰ d ਹੈ, ਦੇ ਤਿੰਨ ਲਗਾਤਾਰ ਪਦ ਹੋਣ ਤਾਂ r-p ਦਾ ਮੁੱਲ _____ ਹੋਵੇਗਾ। If p, q and r are three consecutive terms of an AP whose common difference is d, then the value of r-p is ____ . यदि p, q और r एक अंकगणितिक लड़ी के लगातार तीन पद हैं जिसका साँझा अंतर d है, तो r-p का मूल्य _____ होगा। *

d

2d

3d

4d

​

Answer 1

Answer:

3d is the correct answer

Step-by-step explanation:

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Answer 2

If p, q and r are three consecutive terms of an AP whose common difference is d, then the value of r - p is 2d

Given :

p, q and r are three consecutive terms of an AP whose common difference is d

To find :

The value of r - p

• d

• 2d

• 3d

• 4d

Concept :

If in an arithmetic progression

First term = a

Common difference = d

Then nth term of the AP

= a + ( n - 1 )d

Solution :

Step 1 of 2 :

Express q and r in terms of p and d

Here it is given that p, q and r are three consecutive terms of an AP

First term = a = p

Common Difference = d

Second Term = q = p + d

Third term = r = p + 2d

Step 2 of 2 :

Find the value of r - p

r - p

= p + 2d - p

= 2d

Hence the correct option is 2d

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