Question

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?


an=−6n+6

an=−6n−6

an=6n+6

an=6n−6

Answer 1

To find the nth term in the following sequence we can use an = 6n-6 equation

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
• By solving we get an = 6n - 1.