Form a sequence of numbers between 400 and 900 which leaves a remainder 3 on dividing by 5. Find the total number of terms in this sequence! Find also the sum of all the terms of this sequence?
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Perimeter of the square = 4 × side
Perimeter of the square with side 1 cm = 4 × 1 cm = 4 cm
Perimeter of the square with side 2 cm = 4 × 2 cm = 8 cm
Perimeter of the square with side 3 cm = 4 × 3 cm = 12 cm
Perimeter of the square with side 4 cm = 4 × 4 cm = 16 cm
...
So, we get the number sequence as:
4, 8, 12, 16, …
Area of the square = (side)2
Area of the square with side 1 cm = (1 cm)2 = 1 cm2
Area of the square with side 2 cm = (2 cm)2 = 4 cm2
Area of the square with side 3 cm = (3 cm)2 = 9 cm2
Area of the square with side 4 cm = (4 cm)2 = 16 cm2
….
So, we get the number sequence as:
1, 4, 9, 16, …
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