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What is the sum of the coefficients in the expansion of (x + 1)^7?

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Question: What is the sum of the coefficients in the expansion of (x + 1)^7?

Options:

  1. 128
  2. 64
  3. 32
  4. 16

Correct Answer: 128

Solution: 

The sum of the coefficients is found by substituting x = 1, giving (1 + 1)^7 = 2^7 = 128.

What is the sum of the coefficients in the expansion of (x + 1)^7?

Practice Questions

Q1
What is the sum of the coefficients in the expansion of (x + 1)^7?
  1. 128
  2. 64
  3. 32
  4. 16

Questions & Step-by-Step Solutions

What is the sum of the coefficients in the expansion of (x + 1)^7?
Correct Answer: 128
  • Step 1: Understand that we want to find the sum of the coefficients in the expression (x + 1)^7.
  • Step 2: Realize that to find the sum of the coefficients, we can substitute x with 1.
  • Step 3: Substitute x = 1 into the expression: (1 + 1)^7.
  • Step 4: Calculate (1 + 1), which equals 2.
  • Step 5: Now raise 2 to the power of 7: 2^7.
  • Step 6: Calculate 2^7, which equals 128.
  • Step 7: Conclude that the sum of the coefficients in the expansion of (x + 1)^7 is 128.
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