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Sagot :
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 :
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