NCERT Solutions for Class 10 Maths Chapter 5

Important NCERT Questions

Arithmetic Progression

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 5.2

Page No:106

Questions No:16

# Determine the AP whose third term is 16 and the 7th term exceeds the 5th term by 12.

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Let the first term of the AP = a and common difference = d

Third term = 16

⇒ a₃ = 16 ⇒ a + 2d = 16 … (1)

7th term exceeds the 5th term by 12, therefore a₇ = a₅ + 12

⇒ a + 6d = a + 4d + 12

⇒ 2d = 12 ⇒ d = 6

Putting the value of d in equation (1), we get a + 2(6) = 16

⇒ a = 4

Hence, the A.P = a, a + 2d, … = 4, 10, 16, …