#12; 2•3•5^2
#13; -95
#14; -83
The number of terms in the given arithmetic sequence is n = 10. Using the given first, last term, and the common difference of the arithmetic sequence, the required value is calculated.
<h3>What is the nth term of an arithmetic sequence?</h3>
The general form of the nth term of an arithmetic sequence is
an = a1 + (n - 1)d
Where,
a1 - first term
n - number of terms in the sequence
d - the common difference
<h3>Calculation:</h3>
The given sequence is an arithmetic sequence.
First term a1 = = 3/2
Last term an = = 5/2
Common difference d = 1/9
From the general formula,
an = a1 + (n - 1)d
On substituting,
5/2 = 3/2 + (n - 1)1/9
⇒ (n - 1)1/9 = 5/2 - 3/2
⇒ (n - 1)1/9 = 1
⇒ n - 1 = 9
⇒ n = 9 + 1
∴ n = 10
Thus, there are 10 terms in the given arithmetic sequence.
learn more about the arithmetic sequence here:
brainly.com/question/503167
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Disclaimer: The given question in the portal is incorrect. Here is the correct question.
Question: If the first and the last term of an arithmetic progression with a common difference are , and 1/9 respectively, how many terms has the sequence?
Answer: She will need 142 ft of curtain.
Step-by-step explanation:
Hi, first we have to convert the length of the curtain from inches to foot.
Since 1 inch = 1/12ft
For 24 inches:
24 inches x 1/12 = 2 ft
Since the company wants to make 71 curtains, we have to multiply the length of each curtain (2ft) by 71.
2ft x 71 = 142ft
She will need 142 ft of curtain.
Feel free to ask for more if needed or if you did not understand something.
–6<span>x2</span> – x + 2 = –1(6<span>x2</span> + x – 2)<span>. I hope this helped ^^</span>
Answer:
10.2 years
Step-by-step explanation:
it decays 4.9% per year.
figure out how many years it takes to decay 50% (half-life)
50/4.9 = 10.2