how many how many multiples of 4 lies between 10 and 250
Answers
Answered by
18
Answer:
60
Step-by-step explanation:
Multiples of 4 lies between 10 and 250 are 12, 16, 20, ...., 248.
These numbers form an AP with a = 12 and d = 4.
Let number of three-digit numbers divisible by 4 be n,
an = 248
⇒ a + (n - 1) d = 248
⇒ 12 + (n - 1) × 4 = 248
⇒4(n - 1) = 248
⇒ n - 1 = 59
⇒ n = 60
Answered by
11
between 10 and 250
11 12 13..........249
12 is multiple of 4
248 is multiple of 4
difference between the numbers is 4
therefore
ap is
12 16 20........248
a=12
an or last term = 248
d = 4
an = a+ (n -1)d
248=12+(n-1)4
248 - 12 = 4n - 4
236 + 4 = 4n
n = 240/4
n = 60
therefore there are 60 such numbers
hope it helps
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