Question

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 ?​

Answer 1

Answer:

there will be different remainders my friend

Answer 2

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.