Answer:
In this sequence, where d = -1/2 = -0.5 and the first term is 10
10, 9.5, 9, 8.5, 8, 7.5, 7, 6.5, 6, ...
The 9th term is 6.
Step-by-step explanation:
Arithmetic sequence formula is
an = a1 + (n-1)(d)
where;
an = is the term
a1 = the first term
n = the order of the term in the given
d = common difference (difference between the consecutive sequence must be the same
Given:
a9 = ?
a1 = 10
n = 9 (9th term)
d = -1/2
a9 = 10 + (9-1) (-1/2) Subtract 9 - 1 first
a9 = 10 + (8) (-1/2) Multiply 8 * (-1/2)
a9 = 10 + (-4) Simplify 10 + (-4)
a9 = 6
The 9th term is 6.
If the common difference is negative (-), the sequence is in decreasing order:
In this sequence, -1/2 = -0.5
10, 9.5, 9, 8.5, 8, 7.5, 7, 6.5, 6, ...
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