Answer: See explanation
Explanation:
1. What is the 5th term of the arithmetic sequence an= 5n + 1 ?
This will be:
= 5n + 1
= 5(5) + 1
= 25 + 1
= 26
2. What is the next 3 terms of the Fibonacci sequence 0, 1, 1, 2, 3, 5,....
Fibonacci sequence means that you'll add the two previous numbers given to get the next number. Therefore, the next numbers will be:
3+5 = 8
5+8 = 13
8 + 13 = 21
The numbers are 8, 13 and 21.
3. What are the missing numbers in the sequence 4, ---,_,_, 64 ?
a = 4
ar^4 = 64
We replace a with 4
4r^4 = 64
r^4 = 64/4
r^4 = 16
r = 2
2nd term = ar = 4 × 2 = 8
3rd term = ar^2 = 4 × 2^2 = 4 × 4 = 16
4th term = ar^3 = 4 × 2^3 = 4 ×✓8 = 32
The numbers are 8, 16 and 32.
4. What is the common ratio of the given sequence 3, -6, 12,-24, 48 ?
Common ratio = 2nd term / 1st term
= ar / a
= -6/3
= -2
5. What is the 10th term of the arithmetic sequence an = 3n - 5 ?
an = 3n - 5
= 3(10) - 5
= 30 - 5
= 25
6. If a1 = 2, d = -2, then what is a 12?
a12 = a + (n - 1)d
a12 = a + (12 - 1)d
a12 = a + 11d
a12 = 2 + 11(-2)
a12 = 2 - 22
a12 = -20
7. What is the common ratio of the given sequence 1000, 500, 250, 125?
Common ratio = 2nd term / 1st term
= 500 / 1000
= 1/2
8. What is the 8th term of the sequence -10, - 8, -6, -4, ...?
a = -10
d = -8 - (-10) = -8 + 10 = 2
8th term = a + (n - 1)d
= a + (8 - 1)d
= a + 7d
= -10 + 7(2)
= -10 + 14
= 4
9. What is the Khmer greetings?
It is a greeting used by Cambodians when they meet and they will say Choum Reap Sur which simply means Hello. Also, when they're leaving they'll Som Pas and then the person will say Choum Reap Lir which mean Goodbye. It should be noted that Don Pas is used by Cambodians to greet and to also show respect for someone.