Idk how to do this 4x+y=1

Please answer soon I need this answer very quickly for math. Thank you!

Kazeer [188]

a. First five terms: 9,13,17,21,25

b. Sum of first 25 terms = 1425

c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

Further explanation:

Given

Formula of sequence

$a_n=4n+5$

<u>1. First 5 terms:</u>

For first 5 terms, we have to put n=1,2,...5,

So,

$For\ n=1\\a_1=4(1)+5\\=4+5\\=9\\For\ n=2\\a_2=4(2)+5\\=8+5\\=13\\For n=3\\a_3=4(3)+5\\=12+5\\=17\\For\ n=4\\a_4= 4(4)+5\\=16+5\\=21\\For\ n=5\\a_5=4(5)+5\\=20+5\\=25\\First\ 5\ terms\ are: 9,13,17,21,25$

<u>2. Sum of first 25 terms:</u>

For that we have to find 25th term first

$a_{25} = 4(25)+5\\=100+5\\=105$

The formula for sum is:

$S_n=\frac{n}{2}(a_1+a_n)}\\Putting\ the\ values\\S_n=\frac{25}{2}(9+105)\\=12.5(114)\\=1425$

<u>3. Type of sequence</u>

The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.

i.e.

$d=4$

Keywords: Arithmetic sequence, Sum of arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

4 years ago

Please help me simplify this<br>

algol [13]

Answer:

................................

4 0

3 years ago

A rental company buys 7 compact cars for $8500 each and 7 midsize cars for 12500 each how much total money will they spend?

almond37 [142]

Answer:

Step-by-step explanation:

7 x 8500 = 59,500

7 x 12,500 = 87,500

Add those two together = 147,000

8 0

3 years ago

PLEASEEEE I need help :(

S_A_V [24]

Don’t mind my math homework- But ya the answer would be -1/3. You’re welcome I got your back :)

4 0

3 years ago

Find the missing side of this triangle 6 x 10

IrinaK [193]

Answer:

√136 units

Step-by-step explanation:

We are given that;

The provided triangle is a right triangle.
The measure of the legs are 6 and 10 units.
The hypotenuse of the right triangle is x units.

Since the provided triangle is a right triangle, we can use pythogoras theorem to determine the missing side length of the triangle.

<h3>What is the pythogoras theorem and it's formula?</h3>

Pythogoras theorem is a formula that is used to determine the missing side length of a right triangle, with the following given;

Two side lengths (Legs)
A hypotenuse (Longest side)

Pythogoras theorem is denoted as;

(c)² = (b)² + (a)²

Where, "c" is the hypotenuse; "b" and "a" are the legs.

When we substitute the measure of the two legs and the hypotenuse of the triangle, we get;

(x)² = (10)² + (6)²

Now, let's simplify the equation to determine the value of "x".

⇒ (x)² = 100 + 36 [Evaluating the squares]
⇒ (x)² = 136 [Simplifying the right-hand-side]
⇒ √(x)² = √136 [Taking square root both sides]
⇒ x = √136 ≈ 11.66 units (2 d.p) [Taking square root both sides]

The measure of the missing side is √136 units.

Learn more aobut pythogoras theorem: brainly.com/question/14056085

8 0

2 years ago