5 * 23 is equal to 115. =)
Answer:
T15 = 31
Step-by-step explanation:
Its in the picture
I hope it helps :)
The 24th term is 152
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, where
- a is the first term
- d is the common difference between consecutive terms
The third term means n = 3
∵ 
∴ 
∵
= 5
- Equate the right hand sides of the third term
∴ a + 2d = 5 ⇒ (1)
The fifth term means n = 5
∵ 
∴ 
∵
= 19
- Equate the right hand sides of the fifth term
∴ a + 4d = 19 ⇒ (2)
Now we have a system of equations to solve it
Subtract equation (1) from equation (2) to eliminate a
∴ 2d = 14
- Divide both sides by 2
∴ d = 7
- Substitute the value of d in equation (1) to find a
∵ a + 2(7) = 5
∴ a + 14 = 5
- Subtract 14 from both sides
∴ a = -9
The twenty fourth term means n = 24
∵ a = -9 and d = 7
- Substitute the values of a and d in the formula of the nth term
∴ 
∴ 
∴ 
∴ 
The 24th term is 152
Learn more:
You can learn more about the arithmetic sequence in brainly.com/question/7221312
#LearnwithBrainly
Answer:
D
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic
Step-by-step explanation:
The area, A, in square yards, of a rectangular garden, is given by the function.

We know that, the area of the rectangle is given by :

Where l is length and b is breadth

Length = 2x
Breadth = (15-x)
For zeoes,

Length = 15 yards
Breadth = (15-15) = 0 yards
Hence, this is the required solution.