Find the sum of the first 8 terms of the sequence an=2(4) ^n-1
1 answer:
Answer:
Step-by-step explanation:
a1=2
r=4
n=8
![s_{8}=2\frac{4^8-1}{4-1} =\frac{2}{3} (4^8-1)=\frac{2}{3} (65536-1)=\frac{2}{3} (65535)=2 \times 21845=43690](https://tex.z-dn.net/?f=s_%7B8%7D%3D2%5Cfrac%7B4%5E8-1%7D%7B4-1%7D%20%3D%5Cfrac%7B2%7D%7B3%7D%20%284%5E8-1%29%3D%5Cfrac%7B2%7D%7B3%7D%20%2865536-1%29%3D%5Cfrac%7B2%7D%7B3%7D%20%2865535%29%3D2%20%5Ctimes%2021845%3D43690)
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