Answer:
(a) 498501
(b) 251001
Step-by-step explanation:
According Gauss's approach, the sum of a series is
.... (1)
where, n is number of terms.
(a)
The given series is
1+2+3+4+...+998
here,



Substitute
,
and
in equation (1).



Therefore the sum of series is 498501.
(b)
The given series is
1+3+5+7+...+ 1001
The given series is the sum of dd natural numbers.
In 1001 natural numbers 500 are even numbers and 501 are odd number because alternative numbers are even.



Substitute
,
and
in equation (1).




Therefore the sum of series is 251001.
Answer:
B. it makes your results more convincing
Step-by-step explanation:
A scientific experiment involves the replication and repetition of the experiment. Repetition or conducting the multiple trials of the experiment is very crucial for a scientific experiment.
The experiment is performed to understand and explain the natural phenomenon and the repetition of the experiment ensures that the results obtained from these trials are efficient either to support the hypothesis or to disprove the hypothesis.
Experimenting with multiple trials removes the chances of errors in the experiment, increases the efficiency and strengthens the results to prove or disprove the hypothesis. In other terms, it can be said that it makes the results more convincing.
Thus, Option-B is the correct answer.
Answer: 9.8
Step-by-step explanation:
Answer:
I have:
33 - 3N/44 marbles
N = marbles of Nicole
Step-by-step explanation:
Nicole + me = 44 marbles
m = 44 - N
m = me
N = Nicole
if i lose 1/4 of my marbles
4/4 - 1/4 = 3/4
i have left:
3/4 of my marbles
then:
m = 3(44-N)/4
m = 3*44/4 + 3*-N/44
m = 33 - 3N/44
I have finally:
33 - 3N/44
Answer:
The six trig ratios at 3pi/2 are:
sin(3pi/2)=-1
cos(3pi/2)=0
tan(3pi/2) (undefined)
csc(3pi/2)=-1
sec(3pi/2) (undefined)
cot(3pi/2)=0
Step-by-step explanation:
If tangent is undefined then cosine would have to be 0 given that tangent is the ratio of sine to cosine.
cosine is 0 at pi/2 and 3pi/2 in the first rotation of the unit circle.
3pi/2 satisfies the given constraint.
The six trig ratios are therefore:
sin(3pi/2)=-1
cos(3pi/2)=0
tan(3pi/2)=-1/0 (undefined)
Reciprocal values:
csc(3pi/2)=-1
sec(3pi/2) undefined since cos(3pi/2)=0
cot(3pi/2)=0/-1=0