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If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in t
If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in the expansion?
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Q1
If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in the expansion?
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The number of terms in the expansion of (a + b)^n is n + 1, so for n = 7, there will be 8 terms.
Questions & Step-by-step Solutions
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Q
Q: If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in the expansion?
Solution:
The number of terms in the expansion of (a + b)^n is n + 1, so for n = 7, there will be 8 terms.
Steps: 6
Show Steps
Step 1: Identify the expression you want to expand, which is (a + b)^7.
Step 2: Recognize that the Binomial Theorem tells us how to expand expressions of the form (a + b)^n.
Step 3: Understand that the number of terms in the expansion of (a + b)^n is given by the formula n + 1.
Step 4: In this case, n is 7 because we are expanding (a + b)^7.
Step 5: Calculate the number of terms by adding 1 to n: 7 + 1 = 8.
Step 6: Conclude that there will be 8 terms in the expansion of (a + b)^7.
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