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Can anyone teach how cyclicity of number is calculated. like unit digit of 77^66,63^342 etc

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A sequence x1 , x2 and x3 …
is said to be in a harmonic progression if the reciprocals 1/x1,1/x2
and 1/x3 are in arithmetic progression. The 5th term and the 7th term
17 10 680
21 18 1512
7 1 28
for an harmonic progression are 30 and 50 respectively. What is the
difference between the 6th and 4th term.
a. 16
b. 14.5
c. 13.4
d. 12.5.
there are 16 teams divided in 4 groups.Every team from each group will play with each other once. The top 2 teams will go to the next round and so on the top two teams will play the final match. Minimum hw many matches will be played in that tournament?