JEE Delight | JEE Advanced 2023 | Paper1 | Q10 | Sequence and series

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JEE Delight | JEE Advanced 2023 | Paper1 | Q10 | Sequence and series

0 Let 7
r
z }| {
5 . . . 5 7 denote the (r + 2) digit number where the first and the
last digits are 7 and the remaining r digits are 5. Consider the sum
S = 77 + 757 + 7557 + 7
98
z }| {
5 . . . 5 7. If S =
7
99
z }| {
5 . . . 5 7 + m
n
, where m and
n are natural numbers less than 3000, then the value of m + n is

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by looking at the question, how can we judge if we have to use method of difference like used by you?

kritika