NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 5: Arithematic Progressions

Exercise 5.1

In an AP, if \(d=-4\), \(n=7\), \(a_n=4\), then \(a\) is

In an AP, if \(a=3.5\), \(d=0\), \(n=101\), then \(a_n\) will be

The list of numbers \(-10,-6,-2,2,\ldots\) is

The 11th term of the AP \(-5,\; -\dfrac{5}{2},\; 0,\; \dfrac{5}{2},\ldots\) is

The first four terms of an AP with \(a=-2\) and \(d=-2\) are

The 21st term of the AP whose first two terms are \(-3\) and \(4\) is

If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?

Which term of the AP \(21,42,63,84,\ldots\) is \(210\)?

If the common difference of an AP is 5, then what is \(a_{18}-a_{13}\)?

What is the common difference of an AP in which \(a_{18}-a_{14}=32\)?

Two APs have the same common difference. The first term of one is \(-1\) and of the other is \(8\). Then the difference between their 4th terms is

If \(7\) times the 7th term of an AP is equal to \(11\) times its 11th term, then its 18th term will be

The 4th term from the end of the AP: \(-11,-8,-5,\ldots,49\) is

The famous mathematician associated with finding the sum of the first 100 natural numbers is

If the first term of an AP is \(-5\) and the common difference is \(2\), then the sum of the first 6 terms is

The sum of first 16 terms of the AP: \(10,6,2,\ldots\) is

In an AP if \(a=1\), \(a_n=20\) and \(S_n=399\), then \(n\) is

The sum of first five multiples of 3 is