Answer:
nth term = 1 1/2n -1
Step-by-step explanation:
The arithmetic sequence formula is:
a n = a 1 + ( n – 1 ) d
Where: a n
is the nth term in the sequence
a 1
is the first term in the sequence
n
is the term you are solving for
d
is the common difference for any pair of consecutive numbers in the sequence.
First Term or
n = 1 :
This is given in the problem.
a 1 = 9
Second Term or
n = 2 :
Substitute
2 for n
in the formula and substitute the values from the problem giving:
a 2 = 9 + ( ( 2 – 1 ) × -2 )
a 2 = 9 + ( 1 × -2 )
a 2 = 9 +-2
a 2 = 7
Fifth Term or n = 5 :
Substitute in the formula and substitute the values from the problem giving:
a 5 = 9+ ( ( 5– 1 ) × -2 )
a 5 = 9 + ( 4 × -2 )
a 2 = 9 + -8
a 2 = 1
Using this same process you should be able to determiner the
Third Term or n = 3
: and Fourth Term or n = 4 :
what should we do ,...?
please write your questions!
1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6
2. L) 1, -4 M) 6, 4 N) 7, -2
3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8
4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9
5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14
6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0