Answer:
The answer is 3093.
3093 (if that series you posted actually does stop at 1875; there were no dots after, right?)
Step-by-step explanation:
We have a finite series.
We know the first term is 48.
We know the last term is 1875.
What are the terms in between?
Since the terms of the series form a geometric sequence, all you have to do to get from one term to another is multiply by the common ratio.
The common ratio be found by choosing a term and dividing that term by it's previous term.
So 120/48=5/2 or 2.5.
The first term of the sequence is 48.
The second term of the sequence is 48(2.5)=120.
The third term of the sequence is 48(2.5)(2.5)=300.
The fourth term of the sequence is 48(2.5)(2.5)(2.5)=750.
The fifth term of the sequence is 48(2.5)(2.5)(2.5)(2.5)=1875.
So we are done because 1875 was the last term.
This just becomes a simple addition problem of:
48+120+300+750+1875
168 + 1050 +1875
1218 +1875
3093
