Question

How do I write an explicit rule for this sequence?

Answer 1

Answer:

next should be 2250 if my math is correct

Answer 2

Answer:

$a_{n}$ = 10$(5)^{n-1}$

Step-by-step explanation:

Note that consecutive terms have a common ratio, that is

50 ÷ 10 = 250 ÷ 50 = 1250 ÷ 250 = 5

This indicates that the sequence is geometric with n th term ( explicit rule )

$a_{n}$ = a$(r)^{n-1}$

where a is the first term and r the common ratio,

Here a = 10 and r = 5, thus

$a_{n}$ = 10$(5)^{n-1}$ ← explicit rule