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![{[c(1)=56],[c(n)=c(n-1)*(1)/(2)]:}
What is the
4^("th ") term in the sequence?](https://externalquestionsimg-a4fuc2b6e0gtdqge.z01.azurefd.net/external-question-images/images/images/ka/Algebra-1/Sequences/Introduction%20to%20geometric%20sequences/Q-12.png)
What is the term in the sequence?
Full solution
Q. What is the term in the sequence?
- Sequence Definition: Understand the sequence definition.The sequence is defined recursively, with the first term given as and each subsequent term being half of the previous term . This is a geometric sequence with a common ratio of .
- Calculate Second Term: Calculate the second term using the recursive formula.To find the second term, we use the first term and multiply it by the common ratio.
- Calculate Third Term: Calculate the third term using the recursive formula.To find the third term, we use the second term and multiply it by the common ratio.
- Calculate Fourth Term: Calculate the fourth term using the recursive formula.To find the fourth term, we use the third term and multiply it by the common ratio.
