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sesenic [268]
3 years ago
11

Evaluate the sum from n equals two to eight of quantity four n plus one. 175 180 147 224

Mathematics
2 answers:
pychu [463]3 years ago
5 0

Answer:

147

Step-by-step explanation:

i just took the test

Aleksandr-060686 [28]3 years ago
4 0

The sum from n equals two to eight of quantity four n plus one is 147

<u>Solution:</u>

Given that, we have to find the sum from n equals two to eight of quantity four n plus one. 175 180 147 224.

Now, values of n are 2 to 8 ⇒ 2, 3, 4, 5, 6, 7, 8

We have to find total sum of 4n – 1 for each n value.

Then, (4(2) + 1) + (4(3) + 1) +(4(4) + 1) +(4(5) + 1) +(4(6) + 1) +(4(7) + 1) +(4(8) + 1)

= (8 + 1) + (12 + 1) + (16 + 1) + (20 + 1) + (24 + 1) + (28 + 1) + (32 + 1)

= 9 + 13 + 17 + 21 + 25 + 29 + 33  

= 22 + 38 + 54 + 33

= 60 + 87

= 147

Hence, the sum is 147 and option c is correct.

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This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.

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