Answer:
The recursive rule is 
= first term; 
= 
+ d
f(1) = 55; 
= 
+ 10
The explicit rule is f(n) = f(1) + (n - 1)d
f(20) = 245
Step-by-step explanation:
The recursive rule of the arithmetic sequence is
= first term; 
= 
+ d
Where:
- is the first term in the sequence
- is the nth term in the sequence
- is the term before the nth term
- d is the common difference.
The explicit rule of the arithmetic sequence is
where:
- is the first term in the sequence
- is the nth term in the sequence
- d is the common difference
∵ The first 4 terms of the sequence are 55, 65, 75, 85
∴ = 55
∵ d = 65 - 55
∴ d = 10
∵ We need to find the 20th term
∴ n = 20
∵ The recursive rule is = first term; = + d
→ Substitute the values of , n, and d in recursive rule
∴ f(1) = 55; = + 10
∵ The explicit rule is f(n) = f(1) + (n - 1)d
→ Substitute the values of n and d to find it
∴ f(20) = 55 + 19(10) = 245
∴ f(20) = 245
Answer:
a) X would be marked 2 cm away from point A towards the point B
b) X would be marked 1.5 cm away from point P towards the point Q
Step-by-step explanation:
Data provided in the question:
Length of AB = 6 cm
Length of PQ = 6 cm
a) AX : AB 1 : 3
This means
on substituting the value of AB, we get
or
AX = 
or
AX = 2 cm
Hence,
X would be marked 2 cm away from point A towards the point B
b) PX: XQ 1 :3
This means
or
⇒ 3PX = XQ .............(1)
also,
PX + XQ = PQ
or
PX + XQ = 6 cm
substituting the value of XQ from (1)
PX + 3PX = 6 cm
or
4PX = 6 cm
or
PX = 
or
PX = 1.5 cm
Hence,
X would be marked 1.5 cm away from point P towards the point Q
I’m pretty sure the answer is that last one where t is less than or equal to -12
Answer:
x=35
Step-by-step explanation:
4+x-17=22
x+4-17=22
x-13=22
x-13+13=22+13
