SOLUTION: Given the arithmetic series : 12+18+24+....+2880 Calculate the sum of all the terms of the series tht are not visible by 4 6x+12;2x+4;andx-7 are the first three terms of a geo

Question 1083503: Given the arithmetic series : 12+18+24+....+2880
Calculate the sum of all the terms of the series tht are not visible by 4
6x+12;2x+4;andx-7 are the first three terms of a geometric sequence
Solve for x

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The common difference is 6, and A\all terms are divisible by 6,
from to .
First and last terms and are divisible by 4.
However, with a common difference of ,
every other term will be not divisible by 4.
Those terms from an arithmetic series with common difference ,
from to .
The difference between first and last term is
.
So, --->
The sum of those terms is

The common ratio of that geometric sequence is

Solving:

Denominators require <-->
Multiplying both sides times , we gw=et

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