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2 years ago

Find the explicit formula for the sequence: 2,5,8,11,14

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

4 0

Step-by-step explanation:

Given sequence is: 2,5,8,11,14

Here first term a = 2

Common Difference d = 3

$\because \: t_n = a +(n-1) d \\ \\ \therefore \: t_n = 2+(n-1) 3 \\ \\ \therefore \: t_n = 2+3n- 3 \\ \\ \huge \purple{ \boxed{\therefore \: t_n = 3n- 1}} \\ is \: the \: required \: explicit \: formula\\$

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The map shows the location of the airport and a warehouse in a city. Though not displayed on the map, there is also a factory 10

kipiarov [429]

step 1

find the coordinates of the factory

the factory is 104 miles due north of the warehouse

the coordinates of the warehouse are (39,-52)

coordinates of the factory------> (39,-52+104)------> (39,52)

step 2

find the distance warehouse to airport

let

A coordinates of warehouse-------> A( 39,-52)

B coordinates of airport---------> B(-39,52)

C coordinates of factory-------> C(39,52)

distance AB=√[(52+52)²+(-39-39)²]------> distance AB=130 miles

step 3

find the distance airport to factory

B(-39,52)

C(39,52)

distance BC=√[(52-52)²+(39+39)²]-----> distance BC=39 miles

the total number of miles=distance AB+distance BC---> 130+39

the total number of miles=169 miles

Thus the answer is 169

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2 years ago

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A skateboarding ramp is 12 in. high and rises at an angle of 21°. How long is the base of the ramp? Round to the nearest inch.

bagirrra123 [75]

Answer:

the base of the ramp is 31 inches long.

Step-by-step explanation:

c = a/sin(α)

= 33.48514

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2 years ago

The table shows transactions from five different bank accounts. Fill in the missing numbers. ( THE IMAGE ATTACHED PLEASE)

velikii [3]

Answer:

Part 1) $A=80$

Part 2) $B=-25$

Part 3) $C=-40$

Step-by-step explanation:

we know that

The old account balance plus the transaction amount is equal to the new account balance

The transaction amount can be a positive number (example a deposit) or a negative number (example a withdrawal)

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solve for A

subtract 432 both sides

$A=512-432=80$

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$75-100=B$

solve for B

$-25=B$

Rewrite

$B=-25$

Part 3) Find the value of C

$C+52=12$

solve for C

subtract 52 both sides

$C=12-52$

$C=-40$

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3 years ago

Given: F(x) = 2x + 3, find F(X+h)-f(x) and simplify. 01 02 (2h+6)/h

antiseptic1488 [7]

F(x+h) = 2(x+h) +3= 2x + 2h +3
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[f(x+h) - f(x)]/h = 2h/h = 2

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3 years ago

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Lena [83]

Answer:

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Step-by-step explanation:

Add $32.78 + $27.24 + $5.22

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Subtract 10

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3 years ago

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