What is the 7th term of the geometric sequence 4, 20, 100,...?

Question

What is the 7th term of the geometric sequence 4, 20, 100,...?

1 Answer

Impact of this question

9749 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-20T16:06:30

The geometric sequence given is:
$4, 20, 100$ $4 , 20 , 100$ ...

When provided with a geometric sequence we must first calculate the common ratio $r$ $r$

$r$ $r$ is obtained by dividing a term by its preceding term
1) $\frac{20}{4} = 5$ $20/4 = 5$
2) $\frac{100}{20} = 5$ $100/20 = 5$

for this sequence the common ratio $r = 5$ $r = 5$ the first term $a = 4$ $a = 4$
and $n = 7$ $n = 7$

The 7th term can be obtained through formula
$T_{n} = a r^{n - 1} = 4 \times 5^{(7 - 1)}$ $T_n = ar^(n-1) = 4 xx 5^((7-1))$
$= 4 \times 5^{6}$ $= 4 xx 5^6$
$= 4 \times 15625 = 62500$ $= 4 xx 15625= 62500$

Science

Math

Humanities

... and beyond

What is the 7th term of the geometric sequence 4, 20, 100,...?

1 Answer

Related questions

Impact of this question