Genius Maker - School software - Maths softwarePROGRESSIONS(ARITHMETIC AND GEOMETRIC) |
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The Progressions is a mathematics software for solving the mathematical problems pertaining to Arithmetic Progression (AP) and Geometric Progression (GP). It also facilitates to evaluate the sum of the series between any two members.
- Open Genius Maker software and click "Progressions" button. It opens the Progressions window as shown above.
- It asks you to choose either Arithmetic progression OR Geometric progression. Select either one of them.
- Then "what do you want to find out ?" box appears with 4 options. Select one of them.
- The chosen progression box appears. The first row of numbers indicate the member number and the second row indicates the actual series.
- You may note that, 3 type of colours are used for boxes. 1) Green, 2) Red and 3) Yellowish-Gray.
Green colour boxes are the input field.
Red colour box is your required output field.
Yellowish-Gray boxes are the neighboring reference fields.
- Enter values in all the Green coloured boxes.
- Click " Solve ".
- You may see that the software solves the problem internally and then it fills all reference boxes and output box with appropriate result.
- After solving a series successfully, you can see that a "summation box" appears at the bottom of the window. This can be used to find the sum of that series between any two members of that series.
EXAMPLE -1: (AP)
- Let us take an example.
- Click "Arithmetic Progression"
- From "what do you want to find out ?" box, click " Find common difference"
- You may see that the common difference box changes its colour to Red.
- The first member box, nth member box and nth member number box have changed to Green.
- Enter "2" in the first member box.
- Enter "20" in the nth member box.
- Enter "10" in the nth member number box.
- Click the "Solve" button.
- You may see that the software fills the series and also displays the value of "common difference" as " 2 ".
- You may note the summation box at the bottom. By default, It displays the result of summation of first 10 numbers of the current series as " 110 "
- Set the summation box to find sum from member number "2" to member number "24".
- Click "Find sum" button.
- It displays the sum as "598"
EXAMPLE -2: (AP)
- Let us take another example.
- Click "Arithmetic Progression"
- From "what do you want to find out ?" box, click " Find member number"
- You may see that the nth member number box changes its colour to Red.
- The first member box, nth member box and common difference box have changed to Green.
- Enter "2" in the first member box.
- Enter "22" in the nth member box.
- Enter "4" in the common difference box.
- Click the "Solve" button.
- You may see that the software fills the series and also displays the value of "nth member number" as " 6 ".
- You may note the summation box at the bottom. By default, It displays the result of summation of first 10 numbers of the current series as " 200 "
- Set the summation box to find sum from member number "21" to member number "30".
- Click "Find sum" button.
- It displays the sum as "1000"
EXAMPLE -3: (GP)
- Click "Geometric Progression"
- From "what do you want to find out ?" box, click " Find nth member"
- You may see that the nth member box changes its colour to Red.
- The first member box, nth member number box and common ratio box have changed to Green.
- Enter "1" in the first member box.
- Enter "4" in the nth member number box.
- Enter "3" in the common ratio box.
- Click the "Solve" button.
- You may see that the software fills the series and also displays the value of "nth member" as " 27 ".
- You may note the summation box at the bottom. By default, It displays the result of summation of first 10 numbers of the current series as " 29524 "
- Set the summation box to find sum from member number "3" to member number "8".
- Click "Find sum" button.
- It displays the sum as "3276"
EXAMPLE -4: (GP)
- Click "Geometric Progression"
- From "what do you want to find out ?" box, click " Find first member"
- You may see that the first member box changes its colour to Red.
- The nth member box, nth member number box and common ratio box have changed to Green.
- Enter "625" in the nth member box.
- Enter "6" in the nth member number box.
- Enter "5" in the common ratio box.
- Click the "Solve" button.
- You may see that the software fills the series and also displays the value of "first member" as " 0.2 ".
- You may note the summation box at the bottom. By default, It displays the result of summation of first 10 numbers of the current series as " 488281.2 "
- Set the summation box to find sum from member number "2" to member number "9".
- Click "Find sum" button.
- It displays the sum as "97656"
Now you may try with your own series to solve and find solutions.
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