Answer:
the answer is k=-4 hope this helps
The nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence is defined as a sequence of numbers where the differences between every two consecutive terms is the same through out the sequence.
The nth term of an arithmetic sequence is expressed as;
an = a + ( n - 1) d
Where;
- a is the first term
- n is the number of terms
- d is the common difference
Substitute the values
an = -7 + ( n - 1) 6
Thus, the nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
Learn more about arithmetic sequence here:
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Answer:
it will take them 3.6 hours if their speed is increased
Step-by-step explanation:
First of all, we will need to find the total distance the Geradi family will be travelling. This is a better way to start, as the distance is constant regardless of their change in velocity.
Distance travelled = speed of travel X time taken = 45 X 4 = 180 miles per hour.
If the Geradi family increases their speed to 50 miles per hour, their new time will be got by dividing the total distance travelled by this new speed.
New travel time = 180 miles / 50 miles per hour = 3.6 hours
1/√6 - √11 + √5
LCM = √6
(1 - (√6)*(√11) + (√5)*(√6) ) / √6
(1 - √(6*11) + √(5*6) )/ √6
Rationalize the surd by multiplying top and bottom by √6
((1 - √(6*11) + √(5*6) )/ √6) * (√6/√6)
(√6 - √(6*6*11) + √(5*6*6)) / √6
(√6 - 6√(11) + 6√(5)) / 6
So answer is:
(√6 - 6√11 + 6√5) / 6
