# 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) – 5

(B3) 4

(B4) – 4

(B5) 2

(B6)

(B7) 5

(A2 ) → (B5 )

(A3 ) → (B1 )

(A4 ) → (B2 )

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

(i)

(ii)

(iii)

(iv)

(v)

(ii)

(iii)

(iv)

(v)

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

(i)

(ii)

(iii)

(ii)

(iii)

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

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

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

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