write all the integers that like remainder 1 when its divided by 3
Answers
Answered by
5
❤◀✨ANSWER IS✨▶❤
Clearly, the two digits numbers which leave remainder 1 when divided by 3 are 10,13,16,...,97.
This is an AP with first term a=10,
common difference d=3 and last term l=97.
Let there be n terms in this AP, then
an=97=a+(n−1)d
=97=a+(n−1)d∴10+(n−1)×3=977
10+3n−3=97
10+3n−3=973n=97+3−10
10+3n−3=973n=97+3−103n=90
10+3n−3=973n=97+3−103n=90∴n=30
10+3n−3=973n=97+3−103n=90∴n=30∴ Required sum=2n[a+l]=2/30[10+97]=15×107=1605
Answered by
0
Answer:
4 7 10 13 16 19 ids this right
Similar questions