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 5.3
Page No:113
Questions No:6
The first and the last terms of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?
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Here, a = 17, a_n = 350 and d = 9.
a_n = a + (n – 1)d
⇒ 350 = 17 + (n -1)9
⇒ 350 = 8 + 9n
⇒ n = 342/9 = 38
The sum of n terms of an AP is given by
S_n = n/2[a + a_n]
⇒ S₃₈ = 38/2[17 + 350]
⇒ S₃₈ = 19 × 367
= 6973
Hence, there are 38 terms and their sum is 6973.
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