Answer:
Option B. 60300
Step-by-step explanation:
The given expression
represents an arithmetic sequence. [3, 6, 9, 12,..............]
In this sequence first term a = 3
common difference d = 3
and number of terms n = 200
We have to find the sum of first 200 terms of this sequence.
Formula of the sum of an arithmetic sequence is ![=\frac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Now we put the values in the formula
![\sum_{n=1}^{200}(3n)=\frac{200}{2}[2(3)+(200-1)(3)]](https://tex.z-dn.net/?f=%5Csum_%7Bn%3D1%7D%5E%7B200%7D%283n%29%3D%5Cfrac%7B200%7D%7B2%7D%5B2%283%29%2B%28200-1%29%283%29%5D)
= ![100[6+(199)(3)]=100[6+597]](https://tex.z-dn.net/?f=100%5B6%2B%28199%29%283%29%5D%3D100%5B6%2B597%5D)
= 
= 60300
Therefore option B. 60300 is the answer.
Answer:
25/4 laps or (6.25 laps)
Step-by-step explanation:
1 lap = 1 1/5 miles
kellyn plans to jog 7 1/2 miles
1 lap
number of laps = 7 1/2 miles x -------------- = 25/4 laps or (6.25 laps)
1 1/5 miles
Answer:
area of a deck
A= External area - Internal area
A = length x width
A = ( 44ft x 28ft) - ( 32ft x 16ft)
<u> A = 720ft²</u>
1044 is divisible by 2 as it is an even number
To check whether it divides by three, just add all the digits and see if that is divisible by three, so 1+0+4+4 is 9 and 9/3= 3, so 1044 is divisible by three
Not divisible by 5 because it does not end in 5 or 0
Divisible by 6, 1044/6= 174
Divisible by 9, 1044 /9 gives 116
Not divisible by 10 because it does not end in 0