In △ABC, m∠A=27°, c=14, and m∠B=25°. Find a to the nearest tenth.
1 answer:
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9514 1404 393
Answer:
5) 729, an=3^n, a[1]=3; a[n]=3·a[n-1]
6) 1792, an=7(4^(n-1)), a[1]=7; a[n]=4·a[n-1]
Step-by-step explanation:
The next term of a geometric sequence is the last term multiplied by the common ratio. (This is the basis of the recursive formula.)
The Explicit Rule is ...
for first term a₁ and common ratio r.
The Recursive Rule is ...
a[1] = a₁
a[n] = r·a[n-1]
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5. First term is a₁ = 3; common ratio is r = 9/3 = 3.
Next term: 243×3 = 729
Explicit rule: an = 3·3^(n-1) = 3^n
Recursive rule: a[1] = 3; a[n] = 3·a[n-1]
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6. First term is a₁ = 7; common ratio is r = 28/7 = 4.
Next term: 448×4 = 1792
Explicit rule: an = 7·4^(n-1)
Recursive rule: a[1] = 7; a[n] = 4·a[n-1]
We're going to solve each of the systems to determine the solution.
<u>System </u>
using a graph tool
the solution is the line
see the attached figure N
<u>System </u>
using a graph tool
the solution is the shaded area
see the attached figure N
<u>System </u>
using a graph tool
The system has no solution
see the attached figure N
<u>System </u>
using a graph tool
the solution is the shaded area
see the attached figure N
therefore
<u>the answer is</u>
<u>System </u>
