find the first five terms of the sequence defined below, where n represents the position of a term in the…
find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. start with n = 1. 2(4)^n
Answer
Explanation:
Step1: Find the first term
Substitute $n = 1$ into $2(4)^n$. We get $2\times4^1=2\times4 = 8$.
Step2: Find the second term
Substitute $n = 2$ into $2(4)^n$. We get $2\times4^2=2\times16 = 32$.
Step3: Find the third term
Substitute $n = 3$ into $2(4)^n$. We get $2\times4^3=2\times64 = 128$.
Step4: Find the fourth term
Substitute $n = 4$ into $2(4)^n$. We get $2\times4^4=2\times256 = 512$.
Step5: Find the fifth term
Substitute $n = 5$ into $2(4)^n$. We get $2\times4^5=2\times1024 = 2048$.
Answer:
8, 32, 128, 512, 2048