Question

What is the value of the twelfth term in the sequence?

Answer 1

For this sequence d, the common difference = 4-2 or 6-4 = 2

a, the first term(T1) = 2

n = 12

`\begin{gathered} T_{n\text{ }}=\text{ a + (n-1)d} \\ \text{This is the n}_(th)\text{ of the sequence, since it is an arithmetic progression} \end{gathered}`
`\begin{gathered} T_(12)=\text{ 2 + ( 12 - 1)2} \\ T_(12)=\text{ 2+ 11(2)} \\ T_(12)=\text{ 24} \end{gathered}`