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Answer:
a)210
b)1050
Step-by-step explanation:
a)1+2+3+4+5+.......+20
sol:Sum of 'n' Natural numbers=n(n+1)/2
Therefore: here we have natural numbers upto1 to 20 ,So,Apply the formula n(n+1)/2.
1+2+3+4+5......+20=
n=number of natural numbers.
Therefore:
20(20+1)/2=20(21)/2
=5(21)/1
=210
Apply the same formula.
b)5+10+15+20+25+.....+100
n(n+1)/2=5+10+15+20+25+.......+100
here we have the multiples of 5 ,So let we bring 5 out .So, 5(1+2+3+4+5+.....+20)
Apply the formula:taking 5 out
=n(n+1)/2=20(20+1)/2
= 10(21)/1
= 210.
So.let's multiply with the 5 which we have taken out
=210×5=1050.
Sorry,I don't know 3rd one.Thankyou.
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