Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
<span>Given
number : 14 - 6x / 19
So we need to write this fraction as a sum or difference.
First, simplify the given number:
=> 14 – 6x / 19
=> <u>14 x 19 – (6x</u>)
19
=> <u>266 – 6x</u>
19
=> 266 – 6x = -2 * (3x - 133)
Thus, the final result would be:
=> <u>-2 * (3x - 133) </u> => This
will be the fraction sum or difference of the given number<u>
</u> 19
</span>
First way: x * 1.05
This computes directly what 105% of x will be.
Second way: x + (x * 0.05)
This takes x (which is 100%) and adds 5% of x to it.
First of all, in Mathematics, OF usually represents multiplication. And % means over 100. Anyway, the question basically means 75/100 multiplied by the lifespan. According to the question, the lifespan is 18 years. So that will be;
75/100 x 18
1350/100
13.5
So your answer is 13.5 years. Hope i helped. Have a nice day.
