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Fantom [35]
3 years ago
12

What is S5 for 1000 + 500 + 250 + ... ?

Mathematics
2 answers:
leva [86]3 years ago
3 0
1000 + 500 + 250 + 125 + 62.5 = 1,937.5
Bas_tet [7]3 years ago
3 0

Answer:

The sum of first five term is 1937.5.

Step-by-step explanation:

The given series is

1000+500+250+...

Here the first term is 1000 and each term is half of its previous term. The common ratio is

r=\frac{500}{1000}=0.5

The sum of n terms of a GP is

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

Where, a is first term, r is common difference, r<1 and n is number of terms.

S_5=\frac{1000(1-(0.5)^5)}{1-0.5}

S_5=\frac{968.75}{0.5}

S_5=1937.5

Therefore the sum of first five term is 1937.5.

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