3 years ago

33+34+35+36+...+104 what is the sum of the sequence?

1 answer:

6 0

This is an arithmetic series, so we know, that:

Sum = (First term + Last term) * Number of terms /2

Here we have:

First term = 33
Last term = 104
Number of terms = 104 - 33 + 1 = 72

and

$S=(33+104)\cdot\dfrac{72}{2}=137\cdot36=\boxed{4932}$

You might be interested in

As θ increases from -pi/2 to 0 radians, the value of cos θ will.

GrogVix [38]

Answer:

4) Increase from 0 to 1

Step-by-step explanation:

We have to analyze the value of cos(Ф) from -π/2 to 0. This can be done if we simplify evaluate the value of cos(Ф) at these two extreme.

$cos(-\frac{\pi}{2}) = cos(\frac{\pi}{2} )=cos(90)=0\\\\ cos(0)=1$

This shows that value of cos(Ф) is 0 at -π/2 or -90 degrees and increased to 0 at 0 degrees.

This answer can be validated if you visualize the graph of cos function. Cos function has a peak at 0 degrees, i.e. a value equal to 1. On right and left side of 0 degrees, the curve starts falling down and eventually touches the horizontal axis at 90 degrees and -90 degrees. This is shown in the graph attached below: