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Numeric and Geometri
Numeric and Geometric Patterns
| Term | Definition |
|---|---|
| perimeter of circle | 2PIr |
| area of parallelogram | base times height |
| V of cylinder | PIr^2h |
| area of circle | PIr^2 |
| SA of sphere | 4PIr^2 |
| V of sphere | 4/3 PIr^3 |
| SA of cone | PIrs+PIr^2 |
| V of cone | 1/3 PIr^2h |
| SA of square pyramid | 2bs+b^2 |
| V of square pyramid | 1/3 b^2h |
| V of triangular prism (not equilateral) | 1/2 blh |
| A of trapezoid | ((a+b)h)/2 |
| What is the difference between a finite sequence and infinite sequence? | An infinite sequence never ends, a finite sequence has an end. |
| What is one way to find the limit of a sequence? | A coordinate graph (graphing the sequence) |
| How do you solve for problems with subscripts? (asking to find the 3rd and 12th term) | You must plug in the number(which is subscript) for n in the equation and solve (3 plugged in for n and 12 plugged in for 12) |
| What is an arithmetic sequence? | When you add or subtract a certain(constant) amount to get to the next term (d- common difference, used to represent this constant number) |
| What is a geometric sequence? | When you multiply or divide a certain(constant) amount to get to the next term (r- common ratio, used to represent this constant number) |
| What form does arithmetic sequences follow? | a¹+d(n-1) |
| What form does geometric sequences follow? | aᴺ=a¹rᴺ-¹ |
| How do you find the common ratio of a sequence? | r=aᴺ/aᴺ-¹ |
| How do you find the common difference of a sequence? | d=aᴺ-aᴺ-¹ |
| What formula do you use to find the number of terms in a finite arithmetic sequence? | aᴺ=a¹+d(n-1) (n is the final term in aᴺ) |
| When the terms of a sequence are added together, what is the sum of the terms called? | a series |
| If the sequence of partial sum of an infinite series has a limit, then that limit is... | the sum of the series |
| The sum of the first "n" terms of an infinite series is called a... | partial sum (of the series) |
| When you are solving for sigma notation problems and they are in the form of an arithmetic sequence, then you can use the formula ... ? | sᴺ=n(a¹+aᴺ)/2 (you still have to find the first and last term before plugging it into the formula) |
| When you are solving for sigma notation problems and they are in the form of a geometric sequence, then you can use the formula ... ? | S=a¹-aᴺr/1-r (aᴺ is the last term of the series) |
| What is the formula and way of solving an arithmetic series? | You must use the formula aᴺ=a¹+d(n-1) to find the number of terms in the series, next you must take that number of terms and plug it into the formula: sᴺ=n(a¹+aᴺ)/2 (both the sᴺ and n are representing the number of terms which were previously found) |
Created by:
garfieldwhitebooi
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