Use the diagram to find the values of x and y. (I need help please, I don't understand)
1 answer:
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Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term :
Common difference :
nth term of an A.P. is
where, a is first term and d is common difference.
According to the equation, .
Divide both sides by 7.
Add 1 on both sides.
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
Substituting n=30, a=-2 and d=7, we get
Therefore, the sum of all the terms in the progression is 2985.
<u>Answer:</u>
1.95 cubic feet
<u>Step-by-step explanation:</u>
We are given that Emily stores her jewelry in a cube and the cube has a side length of feet.
feet in an decimal form is 1.25 feet.
We know that,
<em>volume of a cube = s</em>
where <em>s</em> is the side length of the cube.
So substituting this value of side length of cube in the formula to get:
Volume of cube = = 1.95 feet