20,30,60,150,450 find next series
Answers
Answer:
1575
Step-by-step explanation:
20
20*1.5=30
30*2=60
60*2.5=150
150*3=450
450*3.5=1575
Given expressions are
The difference between the first two terms is
This difference we can rewrite like
We got the second term.
The difference between the second and third terms is
This difference we can rewrite like
We got the third term
The difference between the third and fourth terms is
This difference we can rewrite like
We got the fourth term.
The difference between the fourth and fifth terms is
This difference we can rewrite like
We got the fifth term.
Therefore, the general term of change is , where n is the number of terms.
The sixth term is
Therefore, the required term is 1575.
To learn more about the series from the given link
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