Find the sum of alll the multiples of

Answered question

2022-02-27

Find the sum of alll the multiples of three between 1 and 200

Answer & Explanation

star233

star233

Skilled2022-03-20Added 403 answers

Tn (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
Tn = 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
Sn = n2[2a+(n-1)d]
S66 =662[2*3+(66-1)3]
S66 = 33[6+195]
S66 = 6633
 

Answer: 6633

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