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

User Mpatek
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2 Answers

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1000 + 500 + 250 + 125 + 62.5 = 1,937.5
User Sellorio
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4 votes

Answer:

The sum of first five term is 1937.5.

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=(500)/(1000)=0.5

The sum of n terms of a GP is


S_n=(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=(1000(1-(0.5)^5))/(1-0.5)


S_5=(968.75)/(0.5)


S_5=1937.5

Therefore the sum of first five term is 1937.5.

User Dnolen
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7.5k points

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