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The given series has six terms. what is the sum of the terms of the series? 10 + 20 + 30 + . . . + 60 420 120 210 240

User Magus
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2 Answers

3 votes
10 + 20 + 30 + 40 + 50 + 60 = 210
User Keelerm
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7 votes

Answer:

10+20+30+40+50+60=210

Explanation:

Let's simplify the series and then apply a useful method.

The original series is:

10+20+30+40+50+60, which can be simplified as:

10*(1+2+3+4+5+6)

Considering that you have a new series starting in 1 and the following numbers are consecutive, then the Gauss equation can be used, which is:

S=n*(n+1)/2, where n is the last value of a consecutive-number series starting in 1.

Through this equation we can find the sum of 1+2+3+4+5+6 by using:

S=6*(6+1)/2=21

Since our expression was 10*(1+2+3+4+5+6) now we can use the expression:

10*(21), obtaining the answer 210.

So, 10+20+30+40+50+60 is equal to 210.

User NRUSINGHA MOHARANA
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