Question

How will you identify the sequence is infinite arithmetic sequence?

• A. An arithmetic sequence containing finite number of terms
• B. A geometric sequence containing finite number of terms
• C. An arithmetic sequence containing infinite number of terms
• D. A geometric sequence containing infinite number of terms

Answer 1

Answer: (C)

An arithmetic sequence containing infinite number of terms

An arithmetic sequence containing infinite number of terms.
Example: In infinite arithmetic progression: $11,1,-9,-19,-\mathrm{29.......}$
A sequence of the type $a,a+d,a+2d,a+3d....$ is said to form an infinite A.P.
Where $a=$ first number
and $d=$ common difference