I think its b , but iam not sure
Answer:
Answer is 225.
We have to find the sum of 15 terms of the series
sigma 1 to 15 (2n-1)
This can be split as per summation terms as
sigma 2n - sigma 1
sigma 2n can again be simplified by taking 2 outside
sigma 2n= 2 times sum of natural numbers of 1 to 15
= 2(15)(16)/2= 240
sigma 1= 1+1+...15 times= 15
Hence final answer is
= 2 times sigma n - (n) = 240-15 = 225.
Step-by-step explanation:
Answer:
D) 262,144
Step-by-step explanation:
The given sequence is given explicitly as:
We want to find the tenth term of this sequence.
We substitute n=10 to get:
Simplify the exponent
Simplify the power
Therefore the 10th term is 262,144
Answer:
Step-by-step explanation:
Given
---- the perimeter of fencing
Required
The maximum area
Let
So, we have:
This gives:
Divide by 2
Make L the subject
The area (A) of the fence is:
Substitute
Open bracket
Differentiate with respect to W
Set to 0
Solve for 2W
Solve for W
Recall that:
So, the maximum area is:
Answer:
A
Step-by-step explanation:
Subtract total amount of marbles by the amount of yellow marbles. You should get 10.
Divide 10 by the total amount of marbles
10/15
You should get 0.6666667
Round