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asked Nov 7, 2021 89.3k views

1 Answer

Garnertb · Answer 1 · 2021-11-13T09:55:02+0000

Answer:

$\displaystyle S_(27)=675$

Explanation:

The sum of N consecutive natural numbers is given by:

$\displaystyle S_N=(N)/(2)(F+L)$

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:

$\displaystyle S_(27)=(27)/(2)(12+38)$

$\displaystyle S_(27)=(27)/(2)(50)$

$\displaystyle S_(27)=27*25$

$\mathbf{\displaystyle S_(27)=675}$