Answer:
Required rule for
is
.
Step-by-step explanation:
Given that,
![a_{11} = 50,\ \ d=7](https://tex.z-dn.net/?f=a_%7B11%7D%20%3D%2050%2C%5C%20%20%5C%20%20d%3D7)
From the question: we have to write the
term of Arithmetic sequence.
Arithmetic Sequence or Arithmetic progression (A.P) : It is a sequence which possess that difference between of two successive sequence is always constant.
![a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}](https://tex.z-dn.net/?f=a_%7B1%7D%20%2Ca_%7B2%7D%2Ca_%7B3%7D%2Ca_%7B4%7D.....................a_%7Bn-1%7D%2Ca_%7Bn%7D)
where,
is the first term of A.P
is the common difference.
is the last term or general term.
The above sequence to be in A.P then their common difference should be equal.
![d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}](https://tex.z-dn.net/?f=d%3Da_%7B2%7D-a_%7B1%7D%20%3Da_%7B3%7D-a_%7B2%7D%3Da_%7B4%7D%20-a_%7B3%7D%20..........................a_%7Bn%7D-a_%7Bn-1%7D)
Now, Formula of General Term is ![a_{n}=a+(n-1)d](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da%2B%28n-1%29d)
So, ![a_{11}= a+(11-1)d\\ a_{11} = a+10d](https://tex.z-dn.net/?f=a_%7B11%7D%3D%20a%2B%2811-1%29d%5C%5C%20%20%20%20%20%20%20%20a_%7B11%7D%20%3D%20a%2B10d)
Substituting the value of
we get,
![50=a+10\times7\\50=a+70\\a=-20](https://tex.z-dn.net/?f=50%3Da%2B10%5Ctimes7%5C%5C50%3Da%2B70%5C%5Ca%3D-20)
Then General term (
) of given data is
![a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27](https://tex.z-dn.net/?f=a_%7Bn%7D%3D-20%2B%28n-1%297%5C%5Ca_%7Bn%7D%3D-20%2B7n-7%5C%5Ca_%7Bn%7D%3D7n-27)
Therefore, Required rule for
is
.
Options 1 and 3 are the correct answers
Answer:
<h2><em><u>MY </u></em><em><u>ANSWER </u></em><em><u>IS </u></em><em><u>E.</u></em></h2>
<em><u>HOPE </u></em><em><u>IT </u></em><em><u>HELPS</u></em><em><u> ❤️</u></em>
Answer:
D
Step-by-step explanation:
We know that if angles x and y are complementary, then sin(x)=cos(y).
This means the measures of the angles have to add to 90 degrees, which is satisfied by the fourth option.