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:
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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:
98 π R
Step-by-step explanation:
Surface area of sphere = 4 π R²
= 2 π R × 2 R
= 49 π × 2 R
= 98 π R
Answer:
Pt. A: 25 cookies. Pt. B. $10.00
Step-by-step explanation:
1st you need to divide 10 cookies and $2 dollars, so 10/2= 5 cookies. So, it would be 5 cookies per dollar. So, then you would multiply 5 cookies*5 dollars, that equals 25. you would get 25 cookies for $5.00.
So, for Part B, you would divide 50 cookies by $5 dollars, and that would equal $10.00.
Hope this helped you!!! (:
Answer:
1/5
Step-by-step explanation: