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Sliva [168]
2 years ago
11

Find S15 for 1 + 1.5 + 2.25 + 3.375 + …

Mathematics
1 answer:
Mariulka [41]2 years ago
6 0
By keenly investigating the given above, it is observed that the given is a geometric sequence with first term (a1) equals 1 and common ratio (r) is 1.5. The geometric series can be calculated by the equation, 
  
                                     Sn = a1 x (1 - r^n) / (1 - r)

where n is 15. 

Substituting the known values,
                            <span>Sn = 1 x (1 - 1.5^15) / (1 - 1.5)  = 873.78778
</span>
Therefore, S15 is approximately equal to 873.79. 

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