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AleksAgata [21]
3 years ago
10

Find the nth terms of the following Ap 100, 91, 82​

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

The nth term is 109-9n

Step-by-step explanation:

Here, we want to find the nth term of the given arithmetic sequence

Mathematically, we have the nth term as;

Tn = a + (n-1)d

where a is the first term which is 100 in this case

d is the common difference which is the value obtained by subtracting the preceding term from the succeeding term; it is constant throughout the sequence

The value here is thus;

82-91 = 91-100 = -9

Substituting these values

Tn = 100 + (n-1)-9

Tn = 100 -9n + 9

Tn = 100 + 9 - 9n

Tn = 109-9n

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The length of a rectangle is twice its breadth. If its perimeter is 60 cm, find the length and the breadth of the rectangle​
Vaselesa [24]

Answer:

  • Length is <u>20 cm</u>
  • Breadth is <u>10 cm</u>

Step-by-step explanation:

<h3>According to the Question</h3>

It is given that,

  • Length of rectangle is twice as its breadth
  • Perimeter of Rectangle = 60cm

We have to calculate the length and

breadth of the rectangle.

Let the breadth be x cm.

then,

Length be 2x cm.

Calculating the length and breadth-

  • Perimeter of Rectangle = 2(Length+breadth)

By putting the value we get-

→60 = 2(2x+x)

→60 = 2(3x)

→60 = 6x

→x = 60/6

→ x = 10 cm

Since, breadth is <u>10</u> cm.

Therefore, Length = 2x = 2×10 = 20 cm.

  • Hence, the length and breadth of rectangle is 20 cm & 10 cm respectively.
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