Write an explicit formula for the sequence and find the 18th term.
12, 3, 3/4....
2 answers:
Answer:
3/4294967296
Step-by-step explanation:
The common ratio is
3/12 = 1/4
The explicit formula
an = a1 r^(n-1)
an = 12 (1/4)^ (n-1)
The 18th term is
a18 = 12 * (1/4)^17
= 3/4294967296
Answer:
Nth term = 3 × (¼)^(n-2)
18th term: 3/4¹⁶
Step-by-step explanation:
12 ,3 , ¾..
Are terms of a Geometric progression with:
First term = 12
Common ratio = 3/12 = ¼
Nth term = 12 × (¼)^(n-1)
= (3×4) × (¼)^(n - 2)
= 3 × (¼)^(n-2)
18th term: n = 18
12 × (¼)^(18-1)
12 × (¼)¹⁷
3/4¹⁶ or 6.985 × 10^(-10)
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