Consider the following data sets and complete the table of summary data
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ANSWER
EXPLANATION
The general term of the arithmetic sequence is
For the first term,we substitute
to get,
Similarly
The sum of the first n-terms is given by the formula,
where l is the last term.
In this case
We substitute these values to get,
We could have also used the formula,
EXPLANATION
The general term of the arithmetic sequence is
For the first term,we substitute
Similarly
The sum of the first n-terms is given by the formula,
where l is the last term.
In this case
We substitute these values to get,
We could have also used the formula,
Knowing that cos(45°) = 1/√2 is the way forward.
The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².
The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².