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Gre4nikov [31]
3 years ago
8

I need help with this question.

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
5 0

Answer:

\displaystyle S_{27}=675

Step-by-step explanation:

The sum of N consecutive natural numbers is given by:

\displaystyle S_N=\frac{N}{2}(F+L)

We need to find the sum of the natural numbers between 12 to 38.

To calculate the required sum we have F=12, L=38, but we don't have the value of N.

From 12 to 38 there are 38 - 12 + 1 = 27 natural consecutive numbers, thus N=27.

Substituting in the formula:

\displaystyle S_{27}=\frac{27}{2}(12+38)

\displaystyle S_{27}=\frac{27}{2}(50)

\displaystyle S_{27}=27*25

\mathbf{\displaystyle S_{27}=675}

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