Hello :
the general term is :
an = a1+(n-1)×d
or : an = ap +(n-p)×d......d is common diffrence
let : n=10 and p= 4
a10 = a4 +(10-4)×d
64 = 22 + 6d
6d = 42
d= 7
conclusion :
a4 = 22
a3 = 22-7=15
a2=15-7=8
a1= 8-7=1
<span>the first five terms : 1 , 8 , 15 , 22</span>
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
ΔBCD and ΔACE are the similar triangles.
Therefore, by the property of similar triangles, corresponding sides of these similar triangles will be proportional.





AB + 6 = 24
AB = 18
Option (B) will be the answer.
Answer:
see explanation
Step-by-step explanation:
The excluded values are any values of x that make the function undefined
Given

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the values that x cannot be.
(x + 4)(x - 2)(x - 5) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 2 = 0 ⇒ x = 2
x - 5 = 0 ⇒ x = 5
x = - 4, x = 2, x = 5 are the excluded values
Answer:
-2x + 3 – (5 – 6x) = 4x - 2
Step-by-step explanation:
The given expression is :
-2x + 3 – (5 – 6x)
We need to simplify the above expression. First opening the brackets.
-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x
Taking like terms together,
= -2x+6x + 3 -5
= 4x - 2
So, the simplified expression is 4x - 2.