Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the following sequen
ce with the given first term, a1, and common ratio, r. find a8 when a1=5, and r=3
1 answer:
Answer:
a8=10935
Step-by-step explanation:
A geometric sequece is a sequence of the form
![a_n=a\cdit r^{n-1}](https://tex.z-dn.net/?f=a_n%3Da%5Ccdit%20r%5E%7Bn-1%7D)
in our case we know that
and
, hence
![a_8=5 \cdot 3^7=10935](https://tex.z-dn.net/?f=a_8%3D5%20%5Ccdot%203%5E7%3D10935)
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