Geometric sequences are really useful for solving tricky math problems! Let me explain how they can help:
Explicit Formula: This simple formula, ( a_n = a_1 \times r^{(n - 1)} ), helps you find any term in the sequence fast. Here, ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the term number.
Recursive Formula: This formula, ( a_n = a_{n - 1} \times r ), helps you build the sequence one step at a time. You just look at the term before it and multiply by ( r ).
These formulas are really helpful in everyday situations, like figuring out how much money you'll earn from interest or predicting how a population will grow!
Geometric sequences are really useful for solving tricky math problems! Let me explain how they can help:
Explicit Formula: This simple formula, ( a_n = a_1 \times r^{(n - 1)} ), helps you find any term in the sequence fast. Here, ( a_1 ) is the first term, ( r ) is the common ratio, and ( n ) is the term number.
Recursive Formula: This formula, ( a_n = a_{n - 1} \times r ), helps you build the sequence one step at a time. You just look at the term before it and multiply by ( r ).
These formulas are really helpful in everyday situations, like figuring out how much money you'll earn from interest or predicting how a population will grow!