What is the sum of the geometric sequence 2, 10, 50, ... if there are 7 terms?
The pattern is for each term to multiple by 5 to get the next term.
Here's the sequence.
\(2, 10, 50, 250, 1250, 6250, 31250\)
Simple addition:
\(2+10+50+250+1250+6250+31250=39062\)
ANS \(\Rightarrow 39062\)