Answer:
b. 495
Step-by-step explanation:
Given
15, 21, 27, 33, 39, ...., 75
Number of terms = 11
Required
Evaluate
To evaluate means to add up all term of the series above;
The first step is to determine if the series is arithmetic or exponential;
If its arithmetic, then the difference between successive terms must be equal;
In other words;
21 - 15 = 27 - 21 = 33 - 27 = 39 - 33 = 6
<em>Since the result of the above expression gives 6, then it is an arithmetic series;</em>
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The sum of n terms of an arithmetic series is calculated as this
Where n = 11
a = First term = 15
T_n = Last term = 75
The formula becomes
Hence, the series when evaluated is 495
Answer: angle 2 is 28
Step-by-step explanation:if angle (1) and (2) are supplementary which equals 180degrees; we know angle one is 152 degrees, so a simple 180-152= 28 degrees; so angle 2 is 28
Answer:
k = 3.
Step-by-step explanation:
By the factor theorem if p - 1 is a factor the f(1) = 0.
So f(1) = (1)^4+1^2+1-k = 0
1 + 1 + 1 - k = 0
3 = k.
Answer:
2318
Step-by-step explanation: