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

1 answer:

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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