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1 year ago

What is the value of the expression when n = -3 ?

Mathematics

1 answer:

valentinak56 [21]1 year ago

3 0

The value of the expression is -9 and the first step in simplifying this expression when n = -3 is (-3)^2

<h3>What is the value of the expression when n = -3 ?</h3>

The expression is given as:

n^2 - 3(2) +4n

When n = -3, the expression becomes

(-3)^2 - 3(2) + 4(-3)

Evaluate the exponent and the product

9 - 6 - 12

Evaluate the difference

-9

Hence, the value of the expression is -9

<h3>What would be the first step in simplifying this expression when n = -3?</h3>

The first step in simplifying this expression when n = -3 is to evaluate the bracket

Hence, the first step in simplifying this expression when n = -3 is (-3)^2

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62%

Svetlanka [38]

Answer:

(a) $Sequence: -1, 1, 3$

(b) nth term: $T_n = 4+ 5n$

Step-by-step explanation:

Solving (a)

Given

$T_n = 2n - 3$

The first 3 terms.

When n = 1

$T_1 = 2*1 - 3$

$T_1 = 2 - 3$

$T_1 = -1$

When n = 2

$T_2 = 2*2 - 3$

$T_2 = 4 - 3$

$T_2 = 1$

When n = 3

$T_3 = 3*2 - 3$

$T_3 = 6 - 3$

$T_3= 3$

So, the first three terms are:

$Sequence: -1, 1, 3$

Solving (b)

Given

$Sequence: 9,14,19,24$

Required

The nth term

The sequence is arithmetic.

So, first calculate the common difference (d)

$d = 14 - 9$

$d = 5$

The nth term is then calculated as:

$T_n = a + (n - 1) * d$

Where

$a =First\ term$

So:

$a = 9$ and $d = 5$

$T_n = 9 + (n - 1) * 5$

$T_n = 9 + 5n - 5$

Collect like terms

$T_n = 9 - 5+ 5n$

$T_n = 4+ 5n$

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Find the values of x and y . Explain please

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What is the ascending order of 7.88,7.885,7.8809,and 7.89

dimaraw [331]

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Hope this helps!

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Which expression can be substituted for x in the top equation of the following system to solve the system by substitution? 2x−7y

Ivanshal [37]

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x = 6 - 4y
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3 years ago

A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.

stiks02 [169]

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