Nth terms
I have to find the first 5 terms in the nth sequence.
please could someone show me how to work this out, using the example below so I can do the next set of questions.
10-2n
just plug in 1,2,3,4,5 for n.
10-2*1 = 10-2 = 8
10-2*2 = 10-4 = 6
4
2
0
...
To find the first 5 terms in the nth sequence, you will substitute values for "n" and evaluate the expression. In this case, the expression is 10-2n.
First, substitute n = 1 into the expression:
10 - 2(1)
= 10 - 2
= 8
The first term in the sequence is 8.
Next, substitute n = 2 into the expression:
10 - 2(2)
= 10 - 4
= 6
The second term in the sequence is 6.
Continuing this process, substitute n = 3:
10 - 2(3)
= 10 - 6
= 4
The third term in the sequence is 4.
n = 4:
10 - 2(4)
= 10 - 8
= 2
The fourth term in the sequence is 2.
n = 5:
10 - 2(5)
= 10 - 10
= 0
The fifth term in the sequence is 0.
Therefore, the first 5 terms in the sequence are: 8, 6, 4, 2, 0.
You can apply the same process to find the terms in other nth sequences by substituting different values for "n" into the expression.