4 years ago

The Chang family is on

Mathematics

1 answer:

xeze [42]4 years ago

4 0

I think is d correct answer 60%

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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

$T_n = 9 - 5+ 5n$

$T_n = 4+ 5n$

6 0

3 years ago

What is the solution to –4(8 – 3x) ≥ 6x – 8? x ≥ –4/3 x ≤ –4/3 x ≥ 4 x ≤ 4

bonufazy [111]

what i would do is implant some number under 5 for the X's.

Then work it out as if 3 was x so for instance -4(8-3x3)

6 0

3 years ago

The Truit family rented the cabin shown in the shape in a triangular prism. The cabin is 30 feet deep. What is its volume?

aleksley [76]

Answer:

Volume = 5625ft³

Step-by-step explanation:

Volume of a triangular prism = 1/2bhl

1/2 x base x height x length

Therefore we have in this case

Base = 15ft

Height = 30ft

Length = 25ft

Volume = 1/2 x 30 x 25 x 15

Volume = 5625ft³

6 0

4 years ago

Can you help me please for this ^^

Stels [109]

Sorry it's wonky but I hope you get it if you don't I can explain again

4 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST !!!

N76 [4]

Answer: 500k

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers