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3 years ago

The length of a flower garden is 9 meters. The width of the garden, w, is unknown. If the area of the garden is greater

Mathematics

1 answer:

muminat3 years ago

5 0

Answer:

The width should be more than 5 m. So it can be 6,7 ...

Step-by-step explanation:

The length of a flower garden is = 9 m

The width of a flower garden is = w

The area of a flower garden > 45 sq. m

The area of a flower garden = l * b

l * b > 45

9 * b > 45

the width should be more than 5 m. So it can be 6,7 ...

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3 years ago

Write a rule for the nth term of the arithmetic sequence:<br><br> a11= 50, d = 7

ivolga24 [154]

Answer:

Required rule for $n^{th}$ is $a_{n}=7n-27$ .

Step-by-step explanation:

Given that,

$a_{11} = 50,\ \ d=7$

From the question: we have to write the $n^{th}$ 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.

$a_{1} ,a_{2},a_{3},a_{4}.....................a_{n-1},a_{n}$

where, $a_{1}$ is the first term of A.P

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$a_{n}$ is the last term or general term.

The above sequence to be in A.P then their common difference should be equal.

$d=a_{2}-a_{1} =a_{3}-a_{2}=a_{4} -a_{3} ..........................a_{n}-a_{n-1}$

Now, Formula of General Term is $a_{n}=a+(n-1)d$

So, $a_{11}= a+(11-1)d\\ a_{11} = a+10d$

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Then General term ( $a_{n}$ ) of given data is

$a_{n}=-20+(n-1)7\\a_{n}=-20+7n-7\\a_{n}=7n-27$

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