Asked by Amanjot singh on Apr 23, 2024
Verified
Write the first five terms of the sequence an=−3n+4a _ { n } = - \frac { 3 } { n + 4 }an=−n+43 . Assume that n begins with 1.
A) a1=35,a2=−12,a3=37,a4=−38,a5=13a _ { 1 } = \frac { 3 } { 5 } , a _ { 2 } = - \frac { 1 } { 2 } , a _ { 3 } = \frac { 3 } { 7 } , a _ { 4 } = - \frac { 3 } { 8 } , a _ { 5 } = \frac { 1 } { 3 }a1=53,a2=−21,a3=73,a4=−83,a5=31
B) a1=34,a2=−35a3=12,a4=37,a5=38a _ { 1 } = \frac { 3 } { 4 } , a _ { 2 } = - \frac { 3 } { 5 } a _ { 3 } = \frac { 1 } { 2 } , a _ { 4 } = \frac { 3 } { 7 } , a _ { 5 } = \frac { 3 } { 8 }a1=43,a2=−53a3=21,a4=73,a5=83
C) a1=34,a2=35a3=12,a4=37,a5=38a _ { 1 } = \frac { 3 } { 4 } , a _ { 2 } = \frac { 3 } { 5 } a _ { 3 } = \frac { 1 } { 2 } , a _ { 4 } = \frac { 3 } { 7 } , a _ { 5 } = \frac { 3 } { 8 }a1=43,a2=53a3=21,a4=73,a5=83
D) a1=−34,a2=35a3=−12,a4=37,a5=−38a _ { 1 } = - \frac { 3 } { 4 } , a _ { 2 } = \frac { 3 } { 5 } a _ { 3 } = - \frac { 1 } { 2 } , a _ { 4 } = \frac { 3 } { 7 } , a _ { 5 } = - \frac { 3 } { 8 }a1=−43,a2=53a3=−21,a4=73,a5=−83
E) a1=−35,a2=−12,a3=−37,a4=−38,a5=−13a _ { 1 } = - \frac { 3 } { 5 } , a _ { 2 } = - \frac { 1 } { 2 } , a _ { 3 } = - \frac { 3 } { 7 } , a _ { 4 } = - \frac { 3 } { 8 } , a _ { 5 } = - \frac { 1 } { 3 }a1=−53,a2=−21,a3=−73,a4=−83,a5=−31
\(n + 4\)
An algebraic expression indicating the sum of the variable 'n' and the number four.
\(- \frac { 3 } { n + 4 }\)
A fraction representing negative three divided by the sum of n and four, where n is any real number.
- Ascertain the foremost five values of a particular sequence.
Verified Answer
MM
Matthew Mitra5 days ago
Final Answer :
E
Explanation :
The sequence an=−3n+4a_n = - \frac{3}{n + 4}an=−n+43 generates terms by substituting nnn values starting from 1. Calculating the first five terms with n=1,2,3,4,5n = 1, 2, 3, 4, 5n=1,2,3,4,5 gives a1=−35,a2=−12,a3=−37,a4=−38,a5=−13a_1 = -\frac{3}{5}, a_2 = -\frac{1}{2}, a_3 = -\frac{3}{7}, a_4 = -\frac{3}{8}, a_5 = -\frac{1}{3}a1=−53,a2=−21,a3=−73,a4=−83,a5=−31 , which matches option E.
Learning Objectives
- Ascertain the foremost five values of a particular sequence.