questions on attachment!!!!
questions on attachment!!!!
That do not make no sense to me.Quote:
Use sigma notation to write the sum. -2.4-.4+1.6+3.6
By the formula's of arithmetical sequences:Quote:
Find a formula for an for the arithmetic sequence. a1=7, a11=19
Substitute know values,
"An arithemtica sequnce with initial term of 7 and constant diffrence of 1.2"
Find a formula for an for the arithmetic sequence. a1=11, a11=15
This is a geometric series because the situation is,Quote:
A rubber ball on a hard surface takes a sequence of vertical bounces. Each bounce is 1/6 as high as the proceeding one. If this ball is dropped from a height of 12 feet, find the total distance it has traveled when it hits the surface the fifth time.
---> Because you only got 5 bounces (do not think the exponent is 4 :eek: a common mistake it should be 4)
Use sum for geometric series,
6. Write the first five terms of the sequence.
an=-2a n -1-4an-2
Which term is that? The third thus,Quote:
7. Find the coefficient of b6a2 in the expansion of (b+2a)8
8. Use the binomial theorem to expand and simplify the expression.
Order no important thus,Quote:
9. A college has seven instructors qualified to teach a special computer lab course which requires two instructors to be present. How many different pairs of teachers could teach the class.
Same as before,Quote:
10. Eight cards are drawn, without replacement, from a standard deck of 52 cards. How many sets of eight cards are possible?
Not doing this one you promised only 10.Quote:
Use sigma notation to write the sum:
Here are two possible sigma-representations.
It starts with ... and 2 is added three times: .
It starts with and 2 is added four times: .
2. Find a formula for for the arithemtic sequence:
Recall the formula for the term: .
. . where is the first term and is the common difference.
We are given , so the formula becomes: .
We are given ... the term is
So we have: .
5. A rubber ball on a hard surface takes a sequence of vertical bounces.
Each bounce is 1/6 as high as the preceeding one.
If the ball is dropped from a height of 12 feet,
find the total distance it has traveled when it hits the surface for the fifth time.
Warning: "The Bouncing Ball" is a classic trick question.
I'll baby-step through the explanation . . .
The ball falls feet. .(Contact #1)
It bounces up . feet . . . and falls . feet. .(Contact #2)
It bounces up feet . . . and falls feet. .(Contact #3)
. . You get the idea . . .
By the 5th contact, the total distance is:
Hello again, Lane!
7) Find the coefficient of in the expansion of
The expansion begins: .
The third term is: .
8. Use the binomial theorem to expand and simplify:
If you don't know the Binomial Theorem, we can't be much help.
. . I expanded it . . . you can simplify it.