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Vinil7 [7]
3 years ago
12

What is the sum of the geometric sequence 3,15,75... if there are 7 terms ?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

58593

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a(r^n-1)}{r-1}

where a is the first term and r the common ratio

r = 15 ÷ 3 = 75 ÷ 15 = 5 and a = 3, hence

S_{7} = \frac{3(5^7-1)}{5-1}

= \frac{3(78125-1)}{4} = \frac{3(78124)}{4} = 58593

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