Answer:
The common difference be 2.
Option(C) is corrct .
Step-by-step explanation:
As given
The first term of an arithmetic sequence is -5, and the tenth term is 13.
As the the terms in arithmetic sequence is in the form.
\(a_{n} = a_{1} + (n - 1)d\)
\(a_{n} = n^{th}\ term\)
\(a_{1} = 1^{th}\ term\)
d is the common difference .
As \(a_{1} = - 5\)
n = 10
\(a_{10} = 13\)
Put in the above
\(a_{10} = a_{1} + (10 - 1)d\)
\(13 = -5 + (10 - 1)d\)
\(13 + 5 = 9d\)
\(18= 9d\)
\(d = \frac{18}{9}\)
d = 2
Therefore the common difference be 2.
Option(C) is corrct .
