NCERT Class 10 Maths Solutions Chapter - 5 Arithmetic Progressions, Ex - 5.3

Ex - 5.3

Question 1.
                

Solution

(i)     2, 7, 12 ,…, to 10 terms

For this AP,

a = 2

d = a₂ – a₁ = 7 – 2 = 5 

n = 10

We know that,

(ii)     –37, –33, –29 ,…, to 12 terms

For this AP,

a = –37

d = a₂ – a₁ = (–33) – (–37)

 = – 33 + 37 = 4 

n = 12

We know that,

(iii)   0.6, 1.7, 2.8 ,…, to 100 terms

For this AP,

a = 0.6

d = a₂ – a₁ = 1.7 – 0.6 = 1.1  

n = 100

We know that,

Question 2.

                

Solution

Question 3.

               

Solution

Question 4.

              

Solution

Question 5.

               

Solution

Question 6.

                

Solution

Question 7.

              

Solution

Question 8.

               

Solution

Question 9.

                

Solution

Question 10.

Solution

(i)

(ii)

Question 11.

                 

Solution

Question 12.

                 

Solution

Question 13.

                   

Solution

Question 14.

                 

Solution

Question 15.

Solution

Question 16.

                  

Solution

Question 17.

                  

Solution

Question 18.

Solution

Question 19.

Solution

Question 20.

Ex-5.4