Question

this question has two parts. first, answer part a. then, answer part b.
part a
a. find the common difference of the arithmetic sequence
6, 12, 18, 24, ...

part b
b. find the next three terms.

Explanation:

Step1: Calcular la diferencia común

$d = 12 - 6 = 6$

Step2: Confirmar la diferencia común

$d = 18 - 12 = 6$, $d = 24 - 18 = 6$

Step3: Calcular el 5º término

$a_5 = 24 + 6 = 30$

Step4: Calcular el 6º término

$a_6 = 30 + 6 = 36$

Step5: Calcular el 7º término

$a_7 = 36 + 6 = 42$

Answer:

a. 6
b. 30, 36, 42