the sum of all the numbers from 1 to 100 which are multiples of 4 or 5 is
Answers
Multiples of :
4 => 4, 8, 12 ,16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100
5=> 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100
total numbers => 44
sum of all the numbers => 2350
hope it helps !!
Step-by-step explanation:
the sum of all the nos. from 1 to 100 which are multiples of 4:-
4+8+12+..........+a^n
a^n= a1 + (n-1) (4)
= 4+99(4)
400=4+396
s^n= n/2(a1+an)
=100/2 (4+400)
50(404)=20200
the sum of all the nos. from 1 to 100 which are multiples of 5:-
first of all,how many multiples of 5 are there from 1 to 100?assuming we're including 100, there are 20.this is trivial to demonstrate:count up by 5s and you'll reach 100 on your 20th count.
5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100
now let's think about pairing nos. if we pair 5 and 100, we get 105.
5+100= 105
and if we pair 10 and 95 we also get 105
10+ 95= 105
in fact we can make ten pairs of nos. that add up to 105.
15+90=105
20+ 85=105
and so on....
10×105=1050
HOPE ITS HELPS....
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