In a sequence of numbers, a1=0, a2=6, a3=12, a4=18, and a5=24.
Based on this information, which equation can be used to find the nth term in the sequence, an?
To find the nth term in the following sequence we can use an = 6n-6 equation
Step-by-step explanation:
From the given equations it is clear that the series is in arithmetic progression (AP).
So the series can be written as 0,6,12,18,24.
Thus by substituting the value in the equation which is used for finding the value of the nth term in the arithmetic progression (AP) is an = a + ( n-1 ) × d
Here a is the first term , n is the number of the term to be founded and d is the common difference between the two consecutive number in the series.
Thus by substituting the value we get an = 0 + ( n-1 ) × 6
