Computer Club
Kay started
a computer club, and for a while she was the only member. She planned to have each member find two new
members each month. By the end of the
first month she had found two new members.
If her plan is carried out, how many members will the club have at the
end of 6 months?
Twelve Days of Christmas
In the
familiar song, “The twelve days of Christmas,” the total number of gifts
received each day is a triangular number.
On the first day there was 1 gift, on the second day there were 3 gifts,
on the third day 6 gifts, etc., until the 12th day of Christmas.
a. How many
gifts were received on the 12th day?
b. What is
the total number of gifts received during all 12 days?
Cactus
A gift shop
chain in the Southwest presently sells miniature cactus gardens for $20
each. It costs the chain $10 per garden
for materials, assembling, and packaging.
The chain’s management is considering changing the price per garden to
improve total profits from the gardens.
At the present price the chain sells 200/wk. Marketing consultants have told the chain
that for each decrease of $1 in the present selling price, the chain can sell 5
additional gardens above the 200.
Similarly, for each $ increase in the selling price, the chain will sell
5 gardens few than the 200. (For
example, at a price of $21 each, the chain will sell 195; at a price of $22
each, the chain will sell 190; and so on.)
Management wants to know whether it should raise or lower the selling
price and by how much in order that it’s total income from the gardens will be
as large as possible.
Voila!!
Complete
this table and look for a pattern.
Sum Answer
1 1
1+3 4
1+3+5
1+3+5+7
1+3+5+7+9
How many
odd whole numbers would have to be added to get a sum of 81?
How many
odd whole numbers would have to be added to get a sum of 169?
What about
a sum of 529??