A sequence can be generated by using an=3a(n-1), where a1 = 6 and n is a whole number greater than 1. What are the first four terms in the sequence?
To find the first four terms in the sequence, we can use the given formula: an=3a(n-1), where a1 = 6.
First term: a1 = 6.
Second term: a2 = 3a(2-1) = 3a1 = 3(6) = 18.
Third term: a3 = 3a(3-1) = 3a2 = 3(18) = 54.
Fourth term: a4 = 3a(4-1) = 3a3 = 3(54) = 162.
Therefore, the first four terms in the sequence are 6, 18, 54, and 162.
in a sequence a3=0, a4=4, a5=8, a6=12 and a7=16 based on this information which equation can be used to find the nth term in the sequence, an?
We can observe that the terms in the sequence follow a pattern: each term is 4 more than the previous term.
We can write this pattern as follows: an = a(n-1) + 4.
Therefore, the equation that can be used to find the nth term in the sequence is an = a(n-1) + 4.
in a sequence a3=0, a4=4, a5=8, a6=12 and a7=16 based on this information which equation can be used to find the nth term in the sequence, an?
an=−12n+4
an=12n−4
an=4n−12
an=−4n+12
To find the equation that can be used to find the nth term in the sequence, we need to observe the pattern in the given sequence.
From the given information, we can observe that each term in the sequence is increasing by 4 as n increases by 1.
We can express this pattern as follows:
an = 4n - 12.
Therefore, the equation that can be used to find the nth term in the sequence is an = 4n - 12.
To find the first four terms in the sequence, we can use the given formula an = 3a(n-1) where a1 = 6.
1. To find a2, substitute n = 2 into the formula:
a2 = 3a(2-1) = 3a1 = 3 * 6 = 18
2. To find a3, substitute n = 3 into the formula:
a3 = 3a(3-1) = 3a2 = 3 * 18 = 54
3. To find a4, substitute n = 4 into the formula:
a4 = 3a(4-1) = 3a3 = 3 * 54 = 162
Therefore, the first four terms in the sequence are: 6, 18, 54, 162.