A.Insert the indicated number of arithmetic means between the given first and last terms of an arithmetic sequence.


5.1/2 and 2 (2 terms)

6.-4 and 8 (3 terms)

7.-16 and -8 (3 terms)

8.1/3 and 11/3 (4 terms)

9.A and B (1 term)

10.X+Y and 4x-2y. (2 terms)

Please :) thanks.

1

Answers

2016-07-13T04:01:03+08:00
5. a1=1/2 an=2 n=4 d=?
2=1/2+(4-1)d
2=1/2+3d
2-1/2=3d
3 = 3
1/2=d
= 1/2, 1, 1 1/2, 2

6. a1=-4 an=8 n=5 d=?
8=-4+(5-1)d
8=-4+4d
8+4=4d
12=4d
4=4
3=d
= -4, -1, 2, 5, 8

7. a1=-16 an=-8 n=5 d=?
-8=-16+(5-1)d
-8=-16+4d
-8+16=4d
8=4d
4=4
2=d
= -16, -14, -12, -10, -8

8. a1=1/3 an=11/5 n=6 d=?
11/3=1/3+(6-1)d
11/3=1/3+5d
11/3-1/3=5d
10/3=5d
5=5
2/3=d
= 1/3, 3/3, 5/3, 7/3, 9/3, 11/3

hmm. sorry if the number 9 and 10 is missing because my teacher didn't discuss it so I don't know it hehe.
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