The 30th term of the given sequence is 82.
<u>Step-by-step explanation</u>:
- The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on.
- The given linear sequence (-5,-2,1,4,7) is in the form of Arithmetic Progression with a common difference of 3.
- -5, -5+3 = -2, -2+3 = 1, 1+3 = 4 and so on.
The nth term is given by the formula nth term = a + (n - 1) d
where
a = first term
d = common difference
<u>To find the 30th term in the given sequence :</u>
The first term, a = -5 and the common difference, d = 3.
30th term = -5 + (30-1) 3
⇒ -5 + (29) 3
⇒ -5 + 87
⇒ 82
Therefore, the 30th term in the given sequence is 82.
To answer, we let x be the total number of lions in the zoo. Since, we are given that 2/6 of these lions are not well, this means that 4/6 of them are well. The given 10 is the number of lions that are well.
(4/6)(x) = 10
The value of x is 15. Therefore, 5 of the lions are ill.
Answer:
---Atlanta
--- Salt Lake City
Step-by-step explanation:
Given
The round trip flight data of Atlanta and Salt Lake City
Required
The mean price of both
Mean is calculated as:
For Atlanta
For Salt Lake City
Answer:
No, it is not
Step-by-step explanation:
Here, we want to check if the lenghts given is that of a right angle triangle
For a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides
The hypotenuse represents the longest side
So 27^2 = 14^2 + 23^2
The difference between these is 4, and as such the triangle is not a right angled
Answer:
c=109.96
Step-by-step explanation:
