When the powers are 1,4,7,......... the remainder is 2.
When the powers are 3,6,9, ......
......... the remainder is 1.
a) What is the remainder on dividing 2 by 7.
b) Write the sequence of powers of 2, which leave remainder 1 on division by 7.
c) Is 2019, a term in the arithmetic sequence 3,6,9, ............? Why?
d) What is the remainder on dividing 22019 by 7.
e) Write the algebraic from of the arithmetic sequence 1,4,7...........
Write the algebraic form of the sequence 2,24,27,........(Powers of 2 which leave
remainder 2 on division by 7]
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