All categories

2 years ago

Find the sum of the first 42 terms of the following series, to the nearest

Mathematics

1 answer:

balandron [24]2 years ago

5 0

Answer:

Step-by-step explanation:

Find the sum of the first 42 terms of the following series, to the nearest integer.

2,7,12

Solution

The sum is given by

SUM_n=n/2*(a_1+a_n)

a_n=a_1+(n-1)d

a_1=2, n=42, d=5

The 42nd term is therefore given by

a_42=2+(42-1)5=207

SUM_42=42/2*(2+207)=21*209=4389

The sum of the first 42 terms of the series, therefore, is 4389

You might be interested in

Please help me thank you

gayaneshka [121]

Answer:

x = 6

Step-by-step explanation:

First, separate the problem into $-\frac{2x}{3} +9=\frac{4x}{3} - 3$

Then, Subtract 9 from both sides of the equation. $-\frac{2x}{3} +9-9=\frac{4}{3} * x - 3-9$

Simplify. $-\frac{2x}{3}=\frac{4x}{3}-12$

Multiply 3 to each side, which will give you -2x = 4x - 36

Subtract 4x from each side -2x - 4x = 4x - 36x - 4x

Combine like terms: -6x = -36

Divide both sides by -6

Your answer should be 6

<em>(sorry for the late answer)</em>

5 0

3 years ago

Please help me<br><br>Given: ∆NEW with NS is an angle bisector

Tatiana [17]

See attached picture:

6 0

3 years ago

For the function below, find the vertex, axis of symmetry, maximum or minimum value, and the graph of the function.

const2013 [10]

F(x) = x^2/2 + 2x + 1f(x) = 1/2 * (x^2 + 4x) + 1f(x) = 1/2 * (x^2 + 4x + 4) - 1/2 * (4) + 1f(x) = 1/2 * (x + 2)^2 - 1
The vertex is (-2, -1). The axis of symmetry is x = -2. The minimum value is -1. The maximum value is infinity.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

6 0

2 years ago

Read 2 more answers

Which of the following expressions could be used to represent "the difference between -12 and 10"?

pshichka [43]

Answer:

-2

Step-by-step explanation:

I took the test :)

3 0

2 years ago

Read 2 more answers