Consider the arithmetic sequence 100, 93,86,..... . Common difference = -7 .
what is the remainder obtained when each positive term of this sequence is divided by 7 ?
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there will be different remainders my friend
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The remainder obtained when each positive term of this sequence is divided by 7 will be 2.
The given sequence we have is 100, 93, 86,
It is given that this sequence is in arithmetic progression with a common difference of -7.
As the common difference is a factor of 78 therefore when we will divide each term of this sequence with 7 we will obtain the same remainder.
To find the remainder let us divide 100 with 7
the remainder we get is 2.
Therefore, the remainder obtained when each positive term of this sequence is divided by 7 is 2.
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