# NCERT Mathematics Class 10 Exemplar Ch 5 Arithmetic Progressions Part 4

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**EXERCISE 5.3**

1. Match the APs given in column A with suitable common differences given in column B.

**Column A**

(A1)

(A2)

(A3)

(A4)

**Column B**

(B1)

(B2) β 5

(B3) 4

(B4) β 4

(B5) 2

(B6)

(B7) 5

Answer: (A1) β (B4)

(A2 ) β (B5 )

(A3 ) β (B1 )

(A4 ) β (B2 )

2. Verify that each of the following is an AP, and then write its next three terms.

(i)

(ii)

(iii)

(iv)

(v)

Answer: (i)

(ii)

(iii)

(iv)

(v)

3. Write the first three terms of the APs when a and d are as given below:

(i)

(ii)

(iii)

Answer: (i)

(ii)

(iii)

4. Find a, b and c such that the following numbers are in AP:

Answer:

5. Determine the AP whose fifth term is 19 and the difference of the eighth term from the thirteenth term is 20.

Answer:

6. The 26^{th}, 11^{th} and the last term of an AP are 0, 3 and β 1/5 , respectively. Find the common difference and the number of terms.

Answer:

7. The sum of the 5^{th} and the 7^{th} terms of an AP are 52 and the 10^{th} term is 46. Find the AP.

Answer:

8. Find the 20^{th} term of the AP whose 7^{th} term is 24 less than the 11^{th} term, first term being 12.

Answer: 126

9. If the 9^{th} term of an AP is zero, prove that its 29^{th} term is twice its 19^{th} term.

10. Find whether 55 is a term of the AP: or not. If yes, find which term it is.

Answer: Yes, 17^{th} term.