We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Answer: 5 cm by 10 cm gives an area of 50 cm^2
To do this draw a parallelogram and start by labeling the base as 10 cm. If 10 cm is the base, then the height needs to be 5 cm.
To find the area, multiply the base times height.
This will give you: 5 x 10 = 50 which is less than 60.
Answer:
30 inches
Step-by-step explanation:
She takes 12 equal sized steps and they all add up to 10 yards.
The length of each step (in yards) is:
10 / 12 = 5/6 yards
The question requires the answer in inches, therefore, we must convert this to inches:
1 yard = 36 inches
5/6 yards = 5/6 * 36 = 30 inches
Each step is 30 inches long.
Answer:
1/3
Step-by-step explanation:
differentiate first equation to get t , then replace t with 1/3
312 is the LCM for this set
