Answer:
5115
Step-by-step explanation:
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 5 and r = 2, thus
[tex]S_{10}[/tex] = [tex]\frac{5((2)^{10}-1) }{2-1}[/tex] = 5 × (1024 - 1) = 5 × 1023 = 5115
