# Find the 6th term of this geometric sequence 1, 7, 49, 343, …

Find the 6th term of this geometric sequence 1, 7, 49, 343, …
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

erkvisin7s
the geometric sequence given is:
1,7,49,343 ...
When provided with a geometric sequence we must first calculate the common ratio r

r is obtained by dividing a term by its preceding term
1) $\frac{7}{1}=7$
2) $\frac{49}{7}=7$

for this sequence the common ratio r=7 the first term a=1
and n=6

The 6th term can be obtained through formula
${T}_{n}=a{r}^{n-1}=1×{7}^{\left(6-1\right)}$
$=1×{7}^{5}$
$=1×16807=16807$