"Determine the arithmetic means between the given number."
Arithmetic Sequence Arithmetic Means
1. 2, _, _, _, 10 ?
2. 3, _, _, 24 ?
3. -5, _, _, 16 ?
4. 7, _, _, _, -9 ?
5. 13, _, _, 40 ?
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"Determine the arithmetic means between the given number."
Arithmetic Sequence Arithmetic Means
1. 2, _, _, _, 10 ?
2. 3, _, _, 24 ?
3. -5, _, _, 16 ?
4. 7, _, _, _, -9 ?
5. 13, _, _, 40 ?
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Answer:
1.2,4,6,8,10
Common Difference:2
an=a1+(n-1)d
10=2+(5-1)d
10-2= 4d
8/4=4d/4
d=2
2+2=4
4+2=6
6+2=8
8+2=10
2.3,10,17,24
Common difference=7
an=a1+(n-1)d
24=3+(4-1)d
24-3=3d
21/3=3d/3
d=7
3+7=10
10+7=17
17+7=24
3.-5,2,9,16
Common Difference=7
an=a1+(n-1)d
16=-5+(4-1)d
16+5=3d
21/3=3d/3
d=7
-5+7=2
2+7=9
9+7=16
4. ?
5. 13,22,31,40
Common difference=9
an=a1+(n-1)d
40=13+(4-1)d
40-13=3d
27/3=3d
d=9
13+9=22
22+9=31
31+9=40
Answer:
1. 4,6,8
Step-by-step explanation:
1. The given is 2,10
first: you need to know the formula:3xy/4,x+y/2'x+3y/4...
Solution: 2 is our x and 10 is our y
A.3x+y/4= 3(2)+10/4=4
B.x+y/2=2+10/2=6
C.x+3y/4 =2+3(10)/4=8
So it means the arithmetic means between 2,10 are 4,6,8.
Ps. Just follow the formula... you also need to learn all by yourself