the general form of a geometric sequence is a, ar, ar^2, ar^3, ar^4... where a is the first term and r is the common ratio

the sum of the 2nd and 3rd terms is 12

ar^2 + ar^3 = 12

the sum of the 3rd and 4th terms is 60

ar^3 + ar^4 = 60

by solving the system of equations

ar^2 + ar^3 = 12

ar^3 + ar^4 = 60

we find

a = 0.08

r = 5

click here to see the solution

https://www.quickmath.com/webMathematica3/quickmath/equations/solve/advanced.jsp#c=solve_advancedsolveequations&v1=ar%5E2+%2B+ar%5E3+%3D+12%0Aar%5E3+%2B+ar%5E4+%3D+60&v2=a%0Ar

the first term is 0.08.

the common ratio is 5.