Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

relation fonctionnelle entre les nombres $450$ et $500$ ; $466$ et $520$ ; $474$ et $530$ ; $482$ et $530$ ;

View step-by-step help

View step-by-step help

Sum of finite series not start from 1

Full solution

Q. relation fonctionnelle entre les nombres

450

et

500

;

466

et

520

;

474

et

530

;

482

et

530

;

Identify Pattern: Identify the pattern by calculating the difference between each pair of numbers. $\newline$ $450$ to $500$ : $500 - 450 = 50$ $\newline$ $466$ to $520$ : $520 - 466 = 54$ $\newline$ $474$ to $530$ : $530 - 474 = 56$ $\newline$ $482$ to $530$ : $500$ $1$
Analyze Differences: Analyze the differences to see if there's a consistent increase or pattern. $\newline$ Differences: $50$ , $54$ , $56$ , $48$ $\newline$ The differences are not consistent, suggesting a non-linear relationship or error in data.
Find Linear Relationship: Attempt to find a linear relationship by assuming a formula of the form $y = mx + b$ . Using the first pair $(450, 500)$ : $500 = 450m + b$ Using the second pair $(466, 520)$ : $520 = 466m + b$
Solve Equations: Solve the system of equations to find $m$ and $b$ . $\newline$ Subtract the first equation from the second: $\newline$ $520 - 500 = 466m - 450m$ $\newline$ $20 = 16m$ $\newline$ $m = \frac{20}{16} = 1.25$ $\newline$ Substitute $m$ back into the first equation: $\newline$ $500 = 450 \times 1.25 + b$ $\newline$ $500 = 562.5 + b$ $\newline$ $b = 500 - 562.5 = -62.5$

More problems from Sum of finite series not start from 1

Question

Find the sum of the finite arithmetic series.

\sum_{n=1}^{10} (7n+4)

\newline

Posted 2 months ago

Question

Type the missing number in this sequence: `55,\59,\63,\text{_____},\71,\75,\79`

Posted 1 month ago

Question

Type the missing number in this sequence: `2, 4 8`, ______,`32`

Posted 2 months ago

Question

What kind of sequence is this?

2, 10, 50, 250, \ldots

Choices:Choices:

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 2 months ago

Question

What is the missing number in this pattern?

1, 4, 9, 16, 25, 36, 49, 64, 81, \_\_\_\_

Posted 1 month ago

Question

Classify the series.

\sum_{n = 0}^{12} (n + 2)^3

\newline

\newline

\text{[A]arithmetic}

\newline

\text{[B]geometric}

\newline

\text{[C]both}

\newline

\text{[D]neither}

Posted 1 month ago

Question

Find the first three partial sums of the series.

\newline

1 + 6 + 11 + 16 + 21 + 26 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 1 month ago

Question

Find the third partial sum of the series.

\newline

3 + 9 + 15 + 21 + 27 + 33 + \cdots

\newline

Write your answer as an integer or a fraction in simplest form.

\newline

S_3 =

Posted 1 month ago

Question

Find the first three partial sums of the series.

\newline

1 + 7 + 13 + 19 + 25 + 31 + \cdots

\newline

Write your answers as integers or fractions in simplest form.

\newline

S_1 =

\newline

S_2 =

\newline

S_3 =

Posted 2 months ago

Question

Does the infinite geometric series converge or diverge?

\newline

1 + \frac{3}{4} + \frac{9}{16} + \frac{27}{64} + \cdots

\newline

\newline

\text{[A]converge}

\newline

\text{[B]diverge}

Posted 1 month ago