Explicit formulas for geometric sequences

Wang Lei and Amira were asked to find an explicit formula for the sequence $30\,,\,150\,,\,750\,,\,3750,...$30, comma, 150, comma, 750, comma, 3750, comma, point, point, point, where the first term should be $g(1)$g, left parenthesis, 1, right parenthesis.

Wang Lei said the formula is $g(n)=30\cdot5^{{n-1}}$g, left parenthesis, n, right parenthesis, equals, 30, dot, 5, start superscript, n, minus, 1, end superscript, and

Amira said the formula is $g(n)=6\cdot5^{{n}}$g, left parenthesis, n, right parenthesis, equals, 6, dot, 5, start superscript, n, end superscript.