If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in t
Practice Questions
Q1
If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in the expansion?
6
7
8
9
Questions & Step-by-Step Solutions
If the Binomial Theorem is used to expand (a + b)^7, how many terms will be in the expansion?
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.
Binomial Theorem – The Binomial Theorem provides a formula for the expansion of powers of binomials, specifically stating that (a + b)^n expands to a series of terms involving combinations of a and b.
Counting Terms in Expansion – The number of distinct terms in the expansion of (a + b)^n is given by the formula n + 1, where n is the exponent.
