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

Aryanna Blake
2022-10-23
Answered

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

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erkvisin7s

Answered 2022-10-24
Author has **12** answers

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

$T}_{n}=a{r}^{n-1}=1\times {7}^{(6-1)$

$=1\times {7}^{5}$

$=1\times 16807={16807}$

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

$T}_{n}=a{r}^{n-1}=1\times {7}^{(6-1)$

$=1\times {7}^{5}$

$=1\times 16807={16807}$

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