We can't add a common number of multiply a common number to solve this.
But what happens if we start at the 3rd term and add the 2 prior terms?
0 + 1= 1
1 + 1 = 2
1 + 2 = 3
3 + 5 = 8
5 + 8 = 13
This is known as the Fibonacci Sequence.
the quotient of x and y is equal to the sum of a and b
The quotient of x and y:
x/y
The sum of a and b:
a + b
The phrase is equal to means an equation, so we set x/y equal to a + b:
x/y = a + b
A helicopter is flying at an altitude of 785 feet. It descends 570 feet, and then ascends 595 feet. Write an expression to represent this situation. Then determine and interpret the sum.
Start at +785 feet
Descend 570 feet means using a minus sign -570
Ascend 595 feet means using a plus sign...
1 rabbit saw 6 elephants while going to the river. Every elephant saw 2 monkeys going towards the river. Every monkey holds 1 parrot in their hands. How many animals are going towards the river?
1 rabbit = 1
6 elephants per rabbit = 6
2 monkeys per elephant = 12
1 parrot per monkey = 12...
The sum of a and b divided by their product
The sum of a and b means we add b to a:
a + b
The product of a and b means we multiply a by b:
ab
To get our final algebraic expression, we divide the sum (a + b) by the product ab:
(a + b)/ab
Bill raises the flag 15 feet above the ground. Then he lowers it 8 feet and raises it another 2 feet. how far above the ground is the flag now?
We tally up the positives and negatives:
Raise = +15
Lower = -8
Raise = +2
Total = +15 - 8 + 2
Total = 9 feet above the ground
The sum Of a number squared and 14.
A number means an arbitrary variable, let's call it x.
Squared means we raise x to the 2nd power: x^2
The sum means we add x^2 to 14 to get our algebraic expression below:
x^2 + 14
If the third of 6 consecutive numbers is 12, what is their sum?
If 12 is the third of 6 consecutive numbers:
First consecutive number is 12 - 2 = 10
Second consecutive number = 12 - 1 = 11
Third consecutive number = 12
Fourth consecutive number = 12 + 1 = 13
Fifth consecutive number = 13 + 1 =...
At a carnival, Diane bought 14 packs of 7 tickets each. She also found 9 more tickets on the ground. How many tickets did Diane have in all?
14 packs * 7 tickets/pack = 98 tickets
Now add the 9 tickets on the ground: 98 + 9 = 107 tickets
Leifs rich uncle decided to give him $1.00 the first day of Christmas and to double the amount each subsequent day. How much money (in dollars) does he recieve after all 12 days of Christmas?
Let's look at each day:
1
2
4
8
16
32
64
128
256
512
1024
2048
Total received:
1 + 2 + 4 + 8 + 16 +...
A ball is dropped from a height of 12 feet and returns to a height that is one-half of the height from which it fell. The ball continues to bounce half the height of the previous bounce each time. How far will the ball have traveled when it hits the ground for the fifth time?
Take the top of...
Take a look at the following sums:
1 = 1
1 + 3 = 4
1 + 3 + 5 = 9
1 + 3 + 5 + 7 = 16
1 + 3 + 5 + 7 + 9 = 25
a. Come up with a conjecture about the sum when you add the first <i>n</i> odd numbers. For example, when you added the first 5 odd numbers (1 + 3 + 5 + 7 + 9), what did you get? What...