Arithmetic Progression,
NCERT Solutions for Class 10 Maths Chapter 5
Important NCERT Questions
Arithmetic Progression
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 5.2
Page No:106
Questions No:12
Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?
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Let the first term of the first AP = A and common difference = d
Let the first term of the second AP = a and the common difference = d
Difference between their 100th term A_100 – a_100
⇒ (A + 99d) – (a + 99d) = 100
⇒ A – a = 100
Difference between their 1000th term = A_1000 – a_1000
= (A + 999d) – (a + 999d)
= A – a = 100 [.: A – a = 100]
Hence, the difference between their 1000th term is 100.