Series Convergence

[Dumbo]

Find the sum of the infinite series 7+2+4/7+8/49...

 

[Dumbo]

i got it!

s= a1/(1-r)

s= 7/(1-(2/7))

s=9.8

where 2/7 is the common ratio of the geometric sequence

 

[HallsofIvy]

Yes, that is a geometric sequence with first term 7 and common ratio 2/7. Good work!

 

[Steven G]

Find the sum of the infinite series 7+2+4/7+8/49...

2⁰/7^-1 + 2¹/7⁰ + 2²/7¹ + ...
Nice job!