ریاضیاتی استقراء اور مسئلہ ثنائی

The number of terms in the expansion of (a + b)⁸ is:

• 1 10
• 2 8
• 3 9
• 4 16

The coefficient of x² in (1 + x)⁵ is:

• 1 15
• 2 5
• 3 20
• 4 10

The sum of the binomial coefficients in (1 + x)⁴ is:

• 1 8
• 2 4
• 3 16
• 4 32

Mathematical induction is used to prove statements for:

• 1 Real numbers
• 2 Only even numbers
• 3 All natural numbers
• 4 Fractions

The middle term of (a + b)⁶ is the:

• 1 4th
• 2 3rd
• 3 7th
• 4 5th

The expansion of (1 + x)³ is:

• 1 1 + 3x + 3x² + x³
• 2 1 + 3x + x³
• 3 1 + 2x + x²
• 4 1 + x³

The general term in (a + b)^n is:

• 1 a^n + b^n
• 2 nPr a b
• 3 n a^r b
• 4 nCr a^(n-r) b^r

The coefficient of x³ in (1 + x)⁴ is:

• 1 4
• 2 1
• 3 3
• 4 6