# Find the indicated term of the geometric sequence where a_4=16, r=0.5, n=8

Find the indicated term of the geometric sequence where ${a}_{4}=16$, r=0.5, n=8
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Rylan White
In the given sequence we have:
${a}_{4}=16$, $r=\frac{1}{2}$
This is a geometric sequence, so we can write that:
${a}_{n+1}={a}_{n}\cdot r$
Using this identity we get:
${a}_{5}={a}_{4}\cdot r$
${a}_{6}={a}_{5}\cdot r={a}_{4}\cdot {r}^{2}$
${a}_{7}={a}_{6}\cdot r={a}_{4}\cdot {r}^{3}$
${a}_{8}={a}_{7}\cdot r={a}_{4}\cdot {r}^{4}$
If we substiute the given values we get:
${a}_{8}=16\cdot {\left(\frac{1}{2}\right)}^{4}=16\cdot \frac{1}{16}=1$
Answer: The eighth term of this sequence is ${a}_{8}=1$
###### Did you like this example?

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee