Answer:
1350
Step-by-step explanation:
Given:
Initial number of members = 600
Now,
Expected members = Initial members × ( 1 + r )ⁿ
by geometric progression
here,
r is the growth rate
n is the number of years
thus,
Number of members that expect at the end of 2 year
Expected members = Initial members × ( 1 + r )ⁿ
r = 25%
n = 2 years
Expected members = 600 × ( 1 + 0.25 )²
= 937.5
similarly,
Numbers of members that expect at the end of 3 year
Expected members = Initial members × ( 1 + r )ⁿ
r = 22%
n = 1 years (i.e after the end of 2 year)
Initial members = 937.5 (i.e after the end of 2 years is the initial for the starting of third year )
Expected members = 937.5 × ( 1 + 0.22 )¹
= 1143.75
Numbers of members that expect at the end of 4 year
Expected members = Initial members × ( 1 + r )ⁿ
r = 18%
n = 1 years (i.e after the end of 3 year)
Initial members = 1143.75 (i.e after the end of 3 years is the initial for the starting of fourth year )
Expected members = 1143.75 × ( 1 + 0.18 )¹
= 1349.625
Hence,
Total expected people = 1349.625 ≈ 1350
