Answer:
n(n+1)(n+5)/3
Step-by-step explanation:
there is no value, as we don't know n.
but we can create a summary formula/ function definition :
this is the sum for k = 1 to n of k×(k+3)
k×(k+3) = k² + 3k
so, the overall sum splits into the sum of k² for k=1 to n, and the sum of 3k for k=1 to n.
and the sum of 3k is 3 times the sum of k for k=1 to n.
Σk² for k=1 to n = [n(n+1)(2n+1)]/6
Σk for k=1 to n = n(n+1)/2
3×Σk for k=1 to n = 3×n(n+1)/2
so, we have a function formula
n(n+1)(2n+1)/6 + 3n(n+1)/2 = n(n+1)(2n+1)/6 + 9n(n+1)/6 =
= n(n+1)(2n+1+9)/6 = n(n+1)(2n+10)/6 = n(n+1)(n+5)/3
This equation is known as the equation for exponential growth/decay:

Since the car is worth no more than $1,900 when bought, we can rewrite the above equation as:

<u>a is the initial value, and b is the growth factor, x is the </u><u>amount of</u><u> time that passes.
</u>So, we can plug in all that information (it's negative because the car's value goes <em>down</em>):

<u>
</u>That's you
r
final answer^.<u>
</u>
Answer:
The value of x is 3
Step-by-step explanation:
Given that the length of FH is 18 units
we have to find the value of x.
Point G lies between F and H in which measurements are



Divide by 6 throughout the equation.

The value of x is 3 cm.
Option 1 is correct.