Ex 5.2, 14 - Chapter 5 Class 10 Arithmetic Progressions

Last updated at May 26, 2023 by Teachoo

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Ex 5.2, 14
How many multiples of 4 lie between 10 and 250?
Multiple of 4 are
4, 8, 12, 16, ….
For Lowest multiple
10/4 = 22/4
11/4 = 23/4
12/4 = 3
∴ Lowest multiple = 12
For highest multiples
250/4 = 622/4
249/4 = 621/4
248/4 = 62
∴ Highest multiple = 248
So the series is
12, 16, 20, … 248
Since difference is same, it is an AP
Here, a = 12 , d = 4
Last term = an = 248
We need to find n
an = a + (n – 1) d
248 = 12 + (n – 1) 4
248 = 12 + n (4) – 1 × 4
248 = 12 + 4n – 4
248 – 12 + 4 = 4n
236 + 4 = 4n
240 = 4n
n = 240/4
n = 60
So, 60 multiples of 4 lie between 10 and 250

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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