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
Answer:
the slide 2 times and the hamster balls 1
Step-by-step explanation:
5×1=5 2×2=4 4+5=9
Let hamburger = fries + 50
2hamburger + 3fries = 1700 **Given**
2(fries+50) + 3fries = 1700
2fries + 100 + 3fries = 1700
5fries = 1600
fries = 320
hamburger = 320 + 50
hamburger = 370 cal
Answer:
The answer is √5 .
Step-by-step explanation:
You have to rationalize the fraction in order to get rid of surd in the denorminator by multiplying √3 to both numerator amd denorminator :
