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Find the sum, if it exists, of the infinite geometric series that is related to the infinite geometric sequence {1,521, ; 1,369 ; 1,232; ...}. Round the value of r to the nearest hundredth, if needed

S = 16,643
S = 15,210
The infinite geometric series diverges.
S = 12,560

2 Answers

4 votes

9514 1404 393

Answer:

(b) S = 15,210

Explanation:

The common ratio is ...

r = 1369/1521 ≈ 0.90

So, the sum is ...

S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series

User Ilgaar
by
6.1k points
1 vote

9514 1404 393

Answer:

(b) S = 15,210

Explanation:

The common ratio is ...

r = 1369/1521 ≈ 0.90

So, the sum is ...

S = 1521/(1 -r) = 1521/0.10 = 15,210 . . . . . sum of the series

User Flyclassic
by
5.6k points