Answer:
Step-by-step explanation:
If the number is increasing at a constant rate of 74%, this rate of increment is in geometric progression. The formula for the nth term of a geometric sequence can be expressed as
Tn = ar^(n - 1)
Where
n represents the number of terms in there sequence.
a represents the first term of the sequence.
r represents the common ratio
From the information given,
The number increases by 74%, it means that
r = 1 + 74/100 = 1 + 0.74 = 1.74
Starting number is 93.13 so
a = 93.13
It would increase 100 times so
n = 100
Therefore, the formula will be
Tn = 93.13 × 1.74^(n - 1)
When n = 100,
T100 = 93.13 × 1.74^(100 - 1)
T100 = 93.13 × 1.74^99
T100 = 6521.92 × 10^20
