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plz help me with this with steps

Plz Help Me With This With Steps class=
Plz Help Me With This With Steps class=

Sagot :

Answer:

  a. 675

  b. 3

Step-by-step explanation:

a.

The number of consecutive numbers is ...

  N = L -F +1 = 38 -12 +1 = 27

Then the forumula tells you the sum of numbers from 12 to 38 is ...

  S = N/2(F +L) = 27/2(12 +38) = (27)(50)/2 = 575

The sum of the 27 consecutive numbers from 12 to 38 is 575.

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b.

Solving the above formula for N so that it has F as the object, we get ...

  F = L +1 -N

Then the first number of 15 consecutive numbers ending in 17 is ...

  F = 17+1 -15 = 3

The first number is 3.

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The sum of the numbers is S = (15/2)(3 +17) = 150, as given. This information is redundant (not needed in the solution process).