Question

Find the 10th term of the sequence-9,2,13,24...

Answer 1

Answer:

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

`\begin{gathered} T_n=\text{ a + (n-1)d} \\ \end{gathered}`

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

`\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}`

The 10th term of the sequence is 90