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

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

Solution:

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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