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3 years ago

Find the common difference of the arithmetic sequence -5, -14, -23, ...

Mathematics

2 answers:

BartSMP [9]3 years ago

5 0

Answer:

-9

Step-by-step explanation:

Given :-

A Arithmetic sequence -5 , -14 , -23 ...

And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.

Sequence :-

$:\implies$ -5 , -14 , -23

Common difference :-

$:\implies$ CD = -14 -(-5) = -14+5=-9

$:\implies$ CD = -23-(-14) = -23+14=-9

Hence the common difference is (-9) .

Vlada [557]3 years ago

4 0

-9 is the right answer I hope you do great

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Vladimir [108]

In the case of whole numbers, dividing 2 by itself would prove the conjecture false.

2/2 = 1

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3 years ago

An antique collectible has a value of $235 right now. It will increase in value by 9% each year. Find the value the collectible

kirill [66]

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7. Identify a horizontal or vertical stretch or compression of the function f(x)=√x by observing the equation of the function g(

Effectus [21]

It is a vertical stretch.

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Given

To solve this problem you must apply the procedure shown below:

1. You have the following parent function given in the problem above:

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2 years ago

Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a (simple) interest rate of 5%

tester [92]

The value of r is 5.95%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

P is the initial amount of money
r is the interest rate in decimal
t is the time

Bond 1:

∵ The face value is $250

∴ P = 250

∵ The value is in the bond for 5 years

∴ t = 5

∵ The simple interest rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ I = P r t

- Substitute the values of P, r and t in the rule

∴ I = (250)(0.05)(5) = 62.5

∴ The interest of Bond 1 is $62.5

Bond 2:

∵ The face value is $350

∴ P = 350

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∴ t = 3

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3 0

3 years ago

You deposit $10,000 into a bank account at 2% annual interest. How long will it take for the $10,000 to compound to $30,000?

Rama09 [41]

Answer: time = 55.48 years

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3 years ago