Answer:
1. 15 - 5n where n>=1
2. n² where n>=1
Step-by-step explanation:
1. {10, 5, 0, -5, -10} is an Arithmetic Progression
nth term is a + (n - 1)d
where a = first term, n= nth term, d= common difference.
a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))
Therefore, nth(General) term of the sequence:
= 10 + (n - 1)-5
= 10 + (-5n) + 5
= 10 + 5 - 5n
= 15 - 5n
Test:
if n = 1; 15 - 5(1) = 10
if n = 2; 15 - 5(2) = 5
if n = 3; 15 - 5(3) = 0 and so on.
2. {1, 4, 9, 16, 25}
The general term of the sequence is n²
Test:
if n = 1; 1² = 1
if n = 2; 2² = 4
if n = 3; 3² = 9 and so on.
According to sources, the most probable answer to this query is that thee results seems to support a .05 probability. Meaning, this supports the hypothesis' claim. Thank you for your question. Please don't hesitate to ask in Brainly your queries.
The difference between the 6th term and the 9th term of the sequence is 135
<h3>How to determine the difference</h3>
Given that the nth term is;
3n² + 11
For the 6th term, the value of n is 6
Let's solve for the 6th term
= 3( 6)^2 + 11
= 3 × 36 + 11
= 108 + 11
= 119
For the 9th term, n = 9
= 3 (9)^2 + 11
= 3( 81) + 11
= 243 + 11
= 254
The difference between the 6th and 9th term
= 254 - 119
= 135
Thus, the difference between the 6th term and the 9th term of the sequence is 135
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Answer: (not enough information) Is there a picture that goes along with the problem?
Step-by-step explanation:
Answer:
- D. l = 3 || 4 < c < y || 8l + 7.5c ≥ 70
Step-by-step explanation:
<h3>Work at library</h3>
- Time = 3 hours ⇒ l = 3
- Payment = $8 per hour
- Total payment = 8l
<h3>Work at coffee shop</h3>
- Time = between 4 and 7 hours ⇒ 4 < c < 7
- Payment = $7.5 per hour
- Total payment = 7.5c
Target income = at least $70 daily
<u>So the system as per above parameters:</u>
- l = 3
- 4 < c < y
- 8l + 7.5c ≥ 70
Correct option is D
