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:
im pretty sure the triangle one is 2,1 but im not sure what the next is. also you can message me on discord if you ever need to talk or if you wanna help eachother with attendance quizzes. Ericishere#6881
Step-by-step explanation:
Answer:
y = 5
Step-by-step explanation:
Since BD bisects ∠ABC , then
∠ABD = ∠CBD ← substitute given angle values
5y - 3 = 2y + 12 ( subtract 2y from both sides )
3y - 3 = 12 ( add 3 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
Answer:
i'm having a hard time understanding what you just typed :(
Step-by-step explanation:
Not sure if you still need the answer
But it's 120+20
Because the 3 boxes in the middle are cubes, all three are 10x10, and perimeter of a cube is each side added up.
All together it would be 40+40+40 which equals 120.
Then for the semi-circles, the perimeter formula is 1/2(d) d standing for diameter. Since we can tell that the diameter takes up 2 full cubes, we know that the diameter is 20. However since it's a semi-circle we cut that in half. So 10
10+10=20
So then your final answer is 120+ 20
I hope my answer was clear enough!