List the next three numbers for the sequence:
34, 102, 408, 2040, ...
![List the next three numbers for the sequence 34 102 408 2040 class=](https://us-static.z-dn.net/files/dee/c39e6924208e9eaf5e523af153beb213.png)
Answer:
12240
85680
685440
Step-by-step explanation:
We know that the sequence is growing rapidly
To see how rapidly divide the second term by the first term
102/34 =3
Check the third term divided by the second term
408/102 =4
Check the fourth term divided by the third term
2040/408=5
To get the second term, multiply by 3, to get the third term multiply by 4
to get the fourth term multiply by 5
to get the nth term multiply by (n+1)
The 5th term would be multiplied by 6
2040 *6 =12240
The 6th term by 7
12240*7=85680
The 7th term by 8
85680*8=685440