Genius Maker - School software - Maths software PROGRESSIONS (ARITHMETIC AND GEOMETRIC)

Features:

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.

How to start with Progressions software ?

• 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, n^th member box and n^th member number box have changed to Green.
• Enter "2" in the first member box.
• Enter "20" in the n^th member box.
• Enter "10" in the n^th 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 n^th member number box changes its colour to Red.
• The first member box, n^th member box and common difference box have changed to Green.
• Enter "2" in the first member box.
• Enter "22" in the n^th 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 "n^th 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 n^th member"
• You may see that the n^th member box changes its colour to Red.
• The first member box, n^th member number box and common ratio box have changed to Green.
• Enter "1" in the first member box.
• Enter "4" in the n^th 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 "n^th 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 n^th member box, n^th member number box and common ratio box have changed to Green.
• Enter "625" in the n^th member box.
• Enter "6" in the n^th 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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