Answer:
4092
Step-by-step explanation:
The n th term of a geometric series is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
4[tex](2)^{n-1}[/tex] ← is the n th term
with a = 4 and r = 2
The sum to n terms of an arithmetic series is
[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex], thus
[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex]
= 4(1024 - 1) = 4 × 1023 = 4092
