Answer:
n=10
Step-by-step explanation:
The given equation is
...(1)
Let nth term is 2n.
We need to find the values of n.
It is clear that is sum of A.P., whose first term is 10 and common difference is 2.
Sum of A.P. is
where, a is first term and d is common difference.
Substitute a=10 and d=2 in the above formula.
...(2)
From (1) and (2), we get
Splitting middle term, we get
Since, n represents the number of terms so n cannot be a negative number, therefore number of term is 6.
Note: nth term and variable n both are different.
Sixth term is 20. So,
Therefore, the value of n is 10.
Answer:
can i please have somepoints
Step-by-step explanation:
i need to get an answer to a question and if i don't i might fail a really hard test
Using <u>distance between two points</u>, it is found that the total distance covered on the tour is of 3400 miles.
Given two points and , their distance is given by:
In this problem, the formula is used to find the distance covered on each tour, hence:
Then, the total <em>distance </em>is given by the sum of each separate distance, hence:
The total distance covered on the tour is of 3400 miles.
You can learn more about <u>distance between two points</u> at brainly.com/question/25929988
Answer:
He will earn 367 dollars and 50 cent in interest
Step-by-step explanation:
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
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