HELP!
1 answer:
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Given:
The arithmetic sequence is
__, __, 6, __, 15, __, 24, ...
To find:
The missing values and the nth term of the sequence.
Solution:
The nth term of an arithmetic sequence is
...(1)
Where, a is the first term and d is the common difference.
3rd term of the sequence is 6.
...(i)
5th term of the sequence is 15
...(ii)
Subtracting (i) from (ii), we get
Putting d=4.5 in (i), we get
Putting a=-3 and d=4.5 in equation (1).
The nth term of the given arithmetic sequence is .
For n=1,
For n=2,
For n=4,
For n=6,
The missing values are -3, 1.5, 10.5, 19.5 respectively. So, the complete arithmetic sequence is -3, 1.5, 6, 10.5, 15, 19.5, 24, ... .
<u>Answer-</u>
<em>The value of x can be anything </em><em>between 0 to 15</em>
<u>Solution-</u>
Perimeter of a geometrical figure is the sum of lengths of all its sides.
So, the value of the perimeter of the given pentagon would be,
As given in the question that, the perimeter is less than or equal to 51 meters.
So,
As the side length can not be negative, so x must be positive, i.e