Find the next number: 1, 3, 7, 15, 31, ___
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Each term is twice the previous term plus 1.
So 31 × 2 + 1 = 63.
Practice Pakistan questions with answers and explanations.
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Each term is twice the previous term plus 1.
So 31 × 2 + 1 = 63.
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The differences are 1, 2, 3, and 4.
The next difference is 5, producing 17.
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The operations alternate between adding 2 and multiplying by 2.
After 30, the next operation is ×2, giving 60.
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The terms are cubes of consecutive integers: 1³, 2³, 3³, and 4³.
The next term is 5³ = 125.
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These are descending squares: 12², 11², 10², and 9².
The next term is 8² = 64.
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Each term is multiplied by 2.
Therefore, 96 × 2 = 192.
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The digit 7 is in the thousands place.
Therefore, its place value is 7 × 1,000 = 7,000.
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A prime number has exactly two positive factors: 1 and itself.
The number 29 is not divisible by 2, 3, or 5.
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The common factors of 36 and 48 include 1, 2, 3, 4, 6, and 12.
The greatest of these is 12.
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Multiples of 8 are 8, 16, 24, and so on.
The first multiple also divisible by 12 is 24.
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A number is divisible by 9 when the sum of its digits is divisible by 9.
For 5,832, the digit sum is 18.
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Each term is obtained by doubling the previous term and adding 1.
Thus, 31 × 2 + 1 = 63.