Answer:
5 10
2 4
Step-by-step explanation:
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?
All that you need to do here is divide the fraction by 5.
35/5 = 7
10/5 = 2
that leaves you with 7/2, or seven halves. Hope this helps!
Answer: X = 10.20240940...
Step-by-step explanation:
x(2x + 9) = 2x^2 + 9x
2x^2 + 9x = 300
- 300 ON BOTH SIDES
2x^2 + 9x - 300 = 0
SOLVE USING THE QUADRATIC FORMULA
x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)
When all the values are plugged in:
When using "+" in the equation you should get:
x = 10.20240940…
When using "-" in the equation you should get:
x = −14.70240940…
Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...
YOUR ANSWER IS: x = 10.20240940...
Answer:
y + 4/7 6x
Step-by-step explanation: