Respuesta :

Answer:

  832

Step-by-step explanation:

It can be helpful to write a few of the first terms. You will also need to know the last term of the sum.

For n=1, the first term in the sum is 2·1+5 = 7.

For n=2, the next term in the sum is 2·2+5 = 9.

For n=3, the next term is 2·3+5 = 11.

So, this sum is of the arithmetic sequence 7, 9, 11, ....

The last term in the sequence is 2·26+5 = 57.

__

The average term in the series is the average of the first and last terms, so is ...

  (7 +57)/2 = 32

The sum of the terms of an arithmetic sequence is the average term (32) multiplied by the number of terms (26).

Your sum is ...

  sum = (32)(26) = 832