Find the first,fourth, and eighth terms of the sequence. A(n)=-5*2^n-1
Answer:
\(A(1)=-5\times2^1-1=-11\)
\(A(1)=-5\times2^4-1=-81\)
\(A(1)=-5\times2^8-1=-1281\)
Step-by-step explanation:
Given : \(A(n)=-5\times2^n-1\)
To find : \(A(1), A(4), A(18)\)
Solution:
Put n=1, \(A(1)=-5\times2^1-1\)
\(A(1)=-10-1=-11\)
Put n=4, \(A(1)=-5\times2^4-1\)
\(A(1)=-80-1=-81\)
Put n=8, \(A(1)=-5\times2^8-1=\)
\(A(1)=-1280-1=-1281\)
Answer: \(A(1)=-5\)
\(A(4)=-40\)
\(A(8)=-640\)
Step-by-step explanation:
Given sequence : \(A(n)=-5\times2^{n-1}\)
To find the first term, we need to put n=1 in the above sequence , we get
\(A(1)=-5\times2^{1-1}=-5\times2^0=-5\)
To find the fourth term, we need to put n=4, we get
\(A(4)=-5\times2^{4-1}=-5\times2^3=-5\times8=-40\)
To find the eighth term, we need to put n=8, we get
\(A(8)=-5\times2^{8-1}=-5\times2^7=-5\times128=-640\)