Question

Write the nth term of the following sequence in terms of the first term of the sequence.a, a + 4, a +8,...

Answer 1

Write the nth term of the following sequence in terms of the first term of the sequence.

a, a + 4, a +8,...

First term of the sequence = a

nth term is

`\begin{gathered} T_n=a+(n-1)d \\ a=a \\ d=a+4-a=a+8-a+4=4 \\ d=4 \end{gathered}`

Hence the nth term of the sequence is

`\begin{gathered} T_n=a+(n-1)4 \\ T_n=a+4n-4 \\ T_n=a-4+4n \end{gathered}`

Final answer

`a+(n-1)4`