10 An arithmetic progression has first term 5 and common difference \(d\), where \(d > 0\). The second, fifth and eleventh terms of the arithmetic progression, in that order, are the first three terms of a geometric progression.
- Find the value of \(d\).
- The sum of the first 77 terms of the arithmetic progression is denoted by \(S _ { 77 }\). The sum of the first 10 terms of the geometric progression is denoted by \(G _ { 10 }\).
Find the value of \(S _ { 77 } - G _ { 10 }\).