Question

In a sequence, each number after the first number is obtained by adding 4 to the previous number. If the first number in the sequence is 7, which of the following expressions represents the nth number in the sequence?

Answer 1

Answer:

$T_n = 3+ 4n$

Step-by-step explanation:

From the question, we understand that:

$T_1 = 7$ ---- First Term

$d = 4$ ---- Common difference

Required

Determine the nth term

nth term of a sequence is calculated using:

$T_n = T_1 + (n - 1)d$

Substitute values for $T_1$ and $d$

$T_n = 7 + (n - 1) * 4$

Open bracket

$T_n = 7 + 4n - 4$

Collect Like Terms:

$T_n = 7 - 4+ 4n$

$T_n = 3+ 4n$

Hence, the nth term of the sequence is:

$T_n = 3+ 4n$