Find the first four terms of the sequence represented by each expression.
10. 14 - 11n
12. 23 + n
#10
14-11*1 = 14-11 = 3
14-11*2 = 14-22 = -8
...
#12
23+1 = 24
23+2 = 25
...
3n+5
To find the first four terms of a sequence represented by an expression, you need to substitute the values of n from 1 to 4 into the expression and calculate the corresponding terms.
For the expression 14 - 11n:
Substituting n = 1: 14 - 11(1) = 14 - 11 = 3
Substituting n = 2: 14 - 11(2) = 14 - 22 = -8
Substituting n = 3: 14 - 11(3) = 14 - 33 = -19
Substituting n = 4: 14 - 11(4) = 14 - 44 = -30
Therefore, the first four terms of the sequence represented by the expression 14 - 11n are: 3, -8, -19, -30.
For the expression 23 + n:
Substituting n = 1: 23 + 1 = 24
Substituting n = 2: 23 + 2 = 25
Substituting n = 3: 23 + 3 = 26
Substituting n = 4: 23 + 4 = 27
Therefore, the first four terms of the sequence represented by the expression 23 + n are: 24, 25, 26, 27.
To find the first four terms of a sequence represented by an expression, you need to substitute different values of 'n' into the expression and find the corresponding terms of the sequence.
Let's start with the first expression: 14 - 11n
To find the first term (n = 1), we substitute n = 1 into the expression:
14 - 11(1) = 14 - 11 = 3
So, the first term is 3.
For the second term (n = 2), we substitute n = 2 into the expression:
14 - 11(2) = 14 - 22 = -8
Thus, the second term is -8.
For the third term (n = 3), we substitute n = 3 into the expression:
14 - 11(3) = 14 - 33 = -19
Hence, the third term is -19.
Lastly, for the fourth term (n = 4), we substitute n = 4 into the expression:
14 - 11(4) = 14 - 44 = -30
Therefore, the fourth term is -30.
Now, let's move on to the second expression: 23 + n
For the first term (n = 1):
23 + 1 = 24
So, the first term is 24.
For the second term (n = 2):
23 + 2 = 25
Thus, the second term is 25.
For the third term (n = 3):
23 + 3 = 26
Hence, the third term is 26.
Lastly, for the fourth term (n = 4):
23 + 4 = 27
Therefore, the fourth term is 27.
To summarize, the first four terms of the sequence represented by '14 - 11n' are 3, -8, -19, and -30. The first four terms of the sequence represented by '23 + n' are 24, 25, 26, and 27.