In the table below, some arithmetic sequences are given with
two numbers against each. Check whether each belongs to the sequence
or not.
Sequence
Numbers
Yes No
123
11, 22, 33, ...
119
132
100
12, 23, 34, ...
1000
100
21, 32, 43, ...
1000
3
1 1 3
4² 243
4.
3
4
mit
,15,25
Answers
Answer:
What a long question
Step-by-step explanation:
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1. 11,22,33...
123 ,132
Sequence 11,22,33,..
Common difference =22-11 =11
Difference between 123 and 11
123-11 =112
112 is not a multiple of 11
Common difference 132 and 11 1
132 -11 =121
121 is a multiple of 11
2. 12,23,34,...
100 ,1000
sequence 12 ,23 ,34
common difference 23 - 12 = 11
difference between 100 and 12
100 - 12=88
88 is a multiple of 11
difference between 1000 and 12
1000 - 12=988
988 is not a multiple of 11
3. 21 ,32, 43....
100 ,1000
sequence 21,32 ,43..
common difference= 32 - 21 =11
difference between 100 and 21
100 - 21 =79
79 is not a multiple of 11
difference between 1000 and 21
1000 - 21 = 979
979 is a multiple of 11
4. 1/4, 1/2 ,3/4. .
3,4
sequence 1/4 ,1/2 ,3/4..
common difference =1/2-1/4=1/4
difference between 3and 1/4
3-1/4=11/4
11/4 is a multiple of 1/4
5.3/4,1 1/2,2 1/4 ...
3,4
sequence 3/4,1 1/2,2 1/4
common difference=1 1/2-3/4 =3/2-3/4=3/4
difference between 3 and 3/4
3-3/4 =94
9/4 is a multiple of 3 /4
difference between 4 and 3/4
4 - 3 / 4=13/4
13/4 is not a multiple of 3 /4