IDNLearn.com is designed to help you find reliable answers quickly and easily. Discover detailed answers to your questions with our extensive database of expert knowledge.

find the sum of the multiples of 3 from 3 to 99 inclusive

Sagot :

Multiples of 3 from 3 to 99 inclusive is a Aritmetic Progression where:

a1 = 3 
an = 99
r = 3

Using the formula of general terms:

[tex]a_n=a_1+(n-1).r\\ \\ 99=3+3(n-1)\\ \\ 99-3=3n-3\\ \\ 3n=99\\ \\ n=33[/tex]

Calculating sum:

[tex]S_{33}=\frac{33(a_1+a_{33})}{2}\\ \\ S_{33}=\frac{33(3+99)}{2}=\frac{33*102}{2}=1683[/tex]

Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.