CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 13
13. How many three digit numbers are divisible by 7?
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CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 13
13. How many three digit numbers are divisible by 7?
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CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 16
16. Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.
CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 12
12. Two AP’s have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms.
Solution:
Let first term of first AP =
Let first term of 2nd AP =
It is given that their common difference is same. Let their common difference be
.
It is given that difference between their 100th terms is 100. Using formula
, to find nth term of arithmetic progression, we can say that
(1)
We want to find difference between their 1000th terms which means we want to calculate:
Putting equation (1) in the above equation we get,
Therefore, difference between their 1000th terms would be equal to 100.
CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 10
10. The 17th term of an AP exceeds its 10th term by 7. Find the common difference.
CBSE NCERT Solutions Chapter 5 Arithmetic Progressions Exercise 5.2 Question 11
11. Which term of the AP: 3, 15, 27, 39, … will be 132 more than its 54th term?