How do you find the next three terms of the sequence 2,10,50,250,1250,...?

Question

How do you find the next three terms of the sequence 2,10,50,250,1250,...?

1 Answer

Impact of this question

14721 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-17T09:04:52

See below

Explanation:

We are dealing with a geometric squence of ratio 5.

$\frac{10}{2} = 5$ $10/2=5$ ; $\frac{50}{10} = 5$ $50/10=5$ ; $\frac{250}{50} = 5$ $250/50=5$ etc...

We know general term is given by $a_{n} = a_{1} r^{n - 1}$ $a_n=a_1r^(n-1)$ with $a_{1} = 2$ $a_1=2$ and $r = 5$ $r=5$

In our case $a_{n} = 2 \cdot 5^{n - 1}$ $a_n=2·5^(n-1)$

Now for

$n = 6$ $n=6$ $a_{6} = 2 \cdot 5^{5} = 6250$ $a_6=2·5^5=6250$
$n = 7$ $n=7$ $a_{7} = 2 \cdot 5^{6} = 31250$ $a_7=2·5^6=31250$
$n = 8$ $n=8$ $a_{8} = 2 \cdot 5^{7} = 156250$ $a_8=2·5^7=156250$

Science

Math

Humanities

... and beyond

How do you find the next three terms of the sequence 2,10,50,250,1250,...?

1 Answer

Explanation:

Related questions

Impact of this question