The pattern increases by 2 squares at every stage. The next three stages after Stage 4 will have 9, 11 and 13 squares. Therefore, the sequence up to Stage 7 is 1, 3, 5, 7, 9, 11, 13.
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Let the shorter piece be x feet. Then the longer piece is 4x feet. Their total length is 300 feet. Solving 5x equals 300 gives x equal to 60. Therefore, the two pieces are 60 feet and 240 feet.
Let Salil’s present age be x years. Then his mother’s age is 3x years. After 5 years, their ages total 70 years. Solving gives x equal to 15. Therefore, their present ages are 15 and 45 years.
Let the smaller number be x. Then the larger number is x plus 10. Their sum is 64. Solving the equation gives x equal to 27. Therefore, the two numbers are 27 and 37.
The perimeters are 4 cm, 6 cm, 8 cm, 10 cm and 12 cm respectively. When the side increases by 0.5 cm, the perimeter increases by 2 cm each time. This shows a linear pattern.