A
this is a geometric sequence since there exists a common ratio r between the terms
r = = = = 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3 ← recursive rule
C
the n th term of a geometric sequence is
=
where is the first term in the sequence
= 7 × ← explicit rule
Assuming that b>0 and c>0:
log(a)=3×log(b)-2×log(c)=
log(b³)-log(c²)=
log(b³/c²)
Hence a=b³/c²
Answer:
680
Step-by-step explanation:
Use the binomial coefficient where you choose numbers out of possible numbers and find the total amount of combinations since order does not matter:
Thus, you can make 680 three-non-repeating-number codes