All categories

3 years ago

What is the sum of all even numbers 0-175 in algebraic form? If n49=99

Mathematics

1 answer:

Mila [183]3 years ago

7 0

Answer:

$S_{88}=7656$

Step-by-step explanation:

We want to find the sum of all even numbers from 0 to 175.

The series will be:

$0+2+4+6+...+174$

The explicit formula for this is $a_n=2n-2$ , where $n\ge1$ .

We need to find how many terms are there.

$2n-2=174$

$2n=176\\n=88$

The sum of terms is given by:

$S_n=\frac{n}{2}(a_1+l)$

Substitute n=88, $a_1=0$ and l=174 to get:

$S_{88}=\frac{88}{2}(0+174)\\S_{88}=44*174\\S_{88}=7656$

You might be interested in

PLEASE HELP!!!!

frozen [14]

A) $\frac{2 \frac{1}{4}}{ \frac{1}{2}}$
b) $\frac{1}{2}$ • 2 = 1
so $\frac{9}{4}$ • 2 = $\frac{9}{2}$ cups (which is $4 \frac{1}{2}$ )

5 0

3 years ago

Why can’t I figure out how to be friends with someone on this app lol

Cerrena [4.2K]

Answer:

It's simple ill show yu.

Step-by-step explanation:

First, you tap on the persons avatar name, then you click the plus button to friend them! ;)

7 0

3 years ago

Read 2 more answers

Find square root of 144 by factorisation method

Nady [450]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Find square root of 144 by factorisation method.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

We can find the square root of 144 using the factorisation method. In this method, you need to factorise 144 first. Then, you'll get your answer in the form of prime factors. In this case, it's ⇨ 2 × 2 × 2 × 2 × 3 × 3.

__________________

To find the square root using factorisation, we need to group the same number in pairs. That is, 2 × 2 × 2 × 2 × 3 × 3 by grouping same numbers in pairs will become ⇨ (2, 2), (2, 2), (3, 3).

__________________

Now, you should take only 1 of the number from these groups. So, (2, 2), (2, 2), (3, 3) will change to ⇨ 2 × 2 × 3.

__________________

Finally, just multiply this set of numbers to find the square root of 144. 2 × 2 × 3 = 4 × 3 = $\large\boxed{\underline{\bf \: 12}}$ ⇨ square root of 144.

__________________

The square root of 144 is 12.

8 0

2 years ago

The green line below

kenny6666 [7]

Answer:

B, C, D, & E

Step-by-step explanation:

All lines intersect the x axis and y axis so we know B and D are correct. All graphs are in the xy plane unless i ( $\sqrt{-1}$ ) is involved, or C. It crosses the center (origin) of the entire plane so it crosses the origin, or E.