Answer:
= 96
Step-by-step explanation:
The n th term of a geometric sequence is
= a
where a is the first term and r the common ratio.
Both values have to be found.
Using
a₂ = - 144, then
ar = - 144 → (1)
a₅ = 486, then
a
= 486 → (2)
Divide (2) by (1)
= 
r³ = - 3.375 ( take the cube root of both sides )
r = - 1.5
Substitute r = - 1.5 into (1)
- 1.5a = - 144 ( divide both sides by - 1.5 )
a = 96
Hence explicit formula is
= 96
<h2>Answer: 297</h2>
<h3>Step-by-step explanation:</h3>
Based on the 4 terms given in the sequence, we can determine the rule to be: 6n - 3
1s term: 6(1) - 3 = 3
2nd: 6(2) - 3 = 9
3rd: 6(3) - 3 = 15
4th: 6(4) - 3 = 21
<h3> ∴ 50th term = 6(50) - 3 = 297</h3>
Answer:
Step-by-step explanation:
Which of the following would show that quadrilateral LMNP on the coordinate plane is a parallelogram?
Answer:
112 yd. cubed
Step-by-step explanation:
Answer: X = 4.5
Step-by-step explanation:
The proportion is 8/9 for the lines. All we have to do is divide 4 by 8/9 to find the exact value of X.
4/(8/9) = 4.5
I hope this helps!