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Answer:
Explanation:
The number of emails is multiplied by <em>4</em> every <em>9.1 weeks.</em>
Thus, since <em>Tobias initially sent the chain letter to 37 friends</em>, the number of letters will grow as per this geometric series:
Start: 37 letters
- In 9.1 weeks: 37 × 4
- In 2 × 9.1 weeks: 37 × (4)²
- In 3 × 9.1 weeks: 37 × (4)³
As you see, the exponent is the number of weeks divided by 9.1
Thus, if your variable is the number of weeks, t, then the exponent is t/9.1
And the exponential function, P(t) will be:
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula :
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula :
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561