10th term = 90
Explanations:-9, 2, 13, 24, ....................
This is an Arithmetic Progression because it has a common difference
Let the common difference be represented as d
d = 2 - (-9)
d = 2 + 9
d = 11
The nth term of an Arithmetic Progression is given by the equation
[tex]\begin{gathered} T_n=\text{ a + (n-1)d} \\ \end{gathered}[/tex]where a is the first term
n is the number of terms
d is the common difference
To find the 10th term, substitute n=10, d = 11, and a = -9 into the equation for nth term given above
[tex]\begin{gathered} T_{10}=\text{ -9 + (10-1)11 } \\ T_{10}=\text{ -9 + 9(11)} \\ T_{10}=\text{ -9 + 99} \\ T_{10}=\text{ 90} \end{gathered}[/tex]The 10th term of the sequence is 90
