2. Complete the following activity to find the
sum of natural numbers between 1 to 75
The numbers between 1 to 75 divisible by 3
1 and 145
which are divisible by 3.
(3 marks)
Solution
7
3.6.
72
How many are these numbers ?n= ?
a=3,d= . t - 72
1. =a + (n-1)d
=2+(n-1) /
n-05-21-61 – 194
3.. 23
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Answer:
numbers between 1 and 145 which are divisible by 4.
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ANSWER
All natural numbers bwetween 1 and 145 which are divisible by 4 are,
4,8,12,16,...........,144 forms an A.P
with a=4 and d=4
Let, t
n
=144
⟹a+(n−1)d=144
⟹4+(n−1)4=144
⟹4(n−1)=140
⟹n−1=35
∴n=36
Now, S
n
=
2
n
[a+l]
=
2
36
[4+144]
=18×148
=2664
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