Answer:
2+10+50+250+1250+6250=7812
Explanation:
since the common difference is ×5 the progression is a geometric progression
Sum of term of a geometric progression is
Sn = [a{(r^n) - 1}]÷{(r^n)-1} for r>1
Sn = [a{1-(r^n)}]÷{1-(r^n)} for r<1
a is first term =2
r is common difference =5
n is number of terms = 6
Sn sum of terms to n
Sn =2(5⁶-1) ÷(5-1) since r>1
Sn = 7812