Maths-
General
Easy
Question
What is the first three numbers in the pattern?
−, −, −, 64, 128, 256, …
Hint:
A sequence of numbers which has a common difference between any two consecutive numbers is called an arithmetic progression (A.P.). The arithmetic progression general form is given by a, a + d, a + 2d, a + 3d, . . .. Hence, the formula to find the nth term is:
an = a + (n – 1) × d
The correct answer is: 8 , 16 , 32 , 64, 128 , 256
We have given a pattern
−, −, −, 64, 128, 256, …
We have to find the first 3 terms of the given pattern
Fourth term is 64 and fifth is 128 and sixth is 256
On analysis we get that , the next term is double of the previous term
Therefore the first three terms will be
Third term = 64 / 2 = 32
Second term = 32 / 2 = 16
First term = 16/2 = 8
Therefore, the pattern will be 8 , 16 , 32 , 64, 128 , 256 ,…
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Calculate the maximum number of chocolates of size 2cmx3 cmx5 cm that can be kept in a rectangular box of dimensions 6cmx3cmx15 cm
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Given the area of a square, factor it to find the side length.
![text Area end text equals 144 x squared minus 24 x plus 1](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALkAAAARCAYAAACB4g3fAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAAvRJREFUeNrtWTFIXEEQXQ45REJAJIhIOJAjBAsJBAlikSaIBLGzEKsghBBS2ImFRbARCVY2IkGChEAIIkFsJIWEFIEgEuQQIaRIIWksxELCwWWGe8L62bs/d//v7uezDx7evz83/pmdnZmdr1RAllED/xG/EcvBJQF5RYH4kngYXBGQd1wFFwTkGY+JB8EN9rCQY9vuEReJR0L5CfTJaclJ0IeefMCC/aPET8QL9P7shxnH9vlYxxt4AGPu5zTIt4jPhQt2i1gRyErlpIu3i0C3Aa4O03hmxiA21LQj+3yso/HHb8E8Q+KcdeKsQFYqJ8nge8Tbjn1RIv50YF/S9Ujld3eJJ/hcwbVJKX+/iZJXjdznjPAHhyaW6TTomCR+R7k8RQnNWpDzM30RyErkOECWDd8v4d419jxW0CsH9mUiyN+o+uhK4e9KA6UVPHwxcu8RNglvggLKyapBx3uUScYz4nGLRsUxqXOKyGylGFmpHIPHgb3aNdu9JrDNBUbQsti2z3uQc9/1SwvcDuJvrXfTlT5soGPb0NudxfzfAjJ6ljI5Z6VXAlmpHGNc2/BPtOzoG52oqqOe7XMS5As4rerg6/kWlF5GdrNCS2PLQBtBPmTIarUEcjr2VX00yBOBnhSeP2lF6ybuEMc82OeiIt9AB7J4t8EJp8i2EqXSh12E3mobZdm2czirlQWyUjkdc6haQxnI4AMI8HJCP6Rln/VM/iImaGaFSs+JXYJJxFTkQJqlTC7dQK1utOv59KpqPq5zAT7cbsSslWv7rAf5sWr84qEUORg2U7opOE1fZLxdSSJba5I1PyOo+IzzI4V2pV1wO/kR1Tstn6Vhn9Ugf4od2AwfIBentIy2Z0zbIO8iMifaRujHmOkMn/MY5HdUfTSoLzq/PdzyFOS7qv0xpU37rAY5vwEbjpHhacpXodJhHFiqqACThgPNIXo37vt47Pia+NdhcLfaw7cb5EVMnPobJI5xTxWslpIffNrna9waEOAf/wEIPTZIGkWY1wAAAM90RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXRleHQ+JiN4QTA7QXJlYSYjeEEwOzwvbXRleHQ+PG1vPj08L21vPjxtbj4xNDQ8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI0PC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj4xPC9tbj48L21hdGg+mH/uSAAAAABJRU5ErkJggg==)
Given the area of a square, factor it to find the side length.
![text Area end text equals 144 x squared minus 24 x plus 1](data:image/png;base64,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)
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared plus 16 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![x squared plus 16 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Given the area of a square, factor it to find the side length.
Area = ![36 x squared plus 120 x plus 100](data:image/png;base64,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)
Given the area of a square, factor it to find the side length.
Area = ![36 x squared plus 120 x plus 100](data:image/png;base64,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)
Maths-General
Maths-
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Given five noncollinear points, make a conjecture about the number of ways to connect different pairs of points.
Maths-General
Maths-
Sum of length, height, and breadth of a rectangular box is 5 √3 cm and the diagonal length is 3√5 cm. Calculate the T.S.A of the rectangular box?
Sum of length, height, and breadth of a rectangular box is 5 √3 cm and the diagonal length is 3√5 cm. Calculate the T.S.A of the rectangular box?
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
7, 3.5, 1.75, 0.875, …
Describe the pattern in the numbers. Write the next number in the pattern.
7, 3.5, 1.75, 0.875, …
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Describe the pattern in the numbers. Write the next number in the pattern.
5, − 2, − 9, − 16, …
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![2 x squared minus 28 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![2 x squared minus 28 x plus c](data:image/png;base64,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)
Maths-General
Maths-
A box is in the form of a cube with an edge 8 cm long, find the cost of a painting outside the box and on all the surfaces at the rate of Rs 7 per m2.
A box is in the form of a cube with an edge 8 cm long, find the cost of a painting outside the box and on all the surfaces at the rate of Rs 7 per m2.
Maths-General
Maths-
A box is in the form of a cube with an edge of 7 cm long. Calculate the total length of the edges
A box is in the form of a cube with an edge of 7 cm long. Calculate the total length of the edges
Maths-General
Maths-
Describe the pattern in the numbers. Write the next number in the pattern.
3, 1, 1/3 , 1/9 , …
Describe the pattern in the numbers. Write the next number in the pattern.
3, 1, 1/3 , 1/9 , …
Maths-General
Maths-
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![3 x squared plus 24 x plus c](data:image/png;base64,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)
Identify the value of c that makes the trinomial factorable using the perfect square pattern.
![3 x squared plus 24 x plus c](data:image/png;base64,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)
Maths-General
Maths-
Write the factored form of the given expression.
![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Write the factored form of the given expression.
![3 x squared plus 18 x plus 27](data:image/png;base64,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)
Maths-General