The sum of all the multiples of 3 from 100 to 200 is
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Answer:
6633
Step-by-step explanation:
Last Term) = a+(n-1)d
a - First term
d - Common Difference
n - Number of terms
The multiples of 3 from 1 to 200 are 3,6,9,12,....,198
a = 3
d = 3
TnTn = 198
Now, Using the formula
198 = 3+(n-1)3
Solving Gives,
n = 66
Now, Sum of all the terms in AP is given by
SnSn = n2n2[2a+(n-1)d]
S66S66 = 662662[2*3+(66-1)3]
S66S66 = 33[6+195]
S66S66 = 6633
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Answer:
this is the right answer
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