All categories

3 years ago

163,160,157,... find the 42nd term

Mathematics

1 answer:

UNO [17]3 years ago

6 0

Answer:

It's 40

Step-by-step explanation:

Arithmetic Sequence.

Common Difference:

160−163=−3

157−160=−3

d=−3

Explicit Formula:

an=a1+(n−1)d

a42=163+(41)(−3)

a42 = 40

You might be interested in

The lengths of a rectangle have been measured to the nearest tenth of a centimetre they are 87.3cm and 51.8cm what is the upper

vagabundo [1.1K]

Answer: Area (upper bound) = 4527.7056 cm²

Perimeter (lower bound) = 278 cm

Step-by-step explanation:

The length and width of the rectangle have been ROUNDED to the nearest tenth. Let's calculate what their actual measurements could be:

LENGTH: rounded to 87.3, actual is between 87.25 and 87.34

87.25 is the lowest number it could be that would round it UP to 87.3

87.34 is the highest number it could be that would round DOWN to 87.3

WIDTH: rounded to 51.8, actual is between 51.75 and 51.84

51.75 is the lowest number it could be that would round it UP to 51.8

51.84 is the highest number it could be that would round DOWN to 51.8

To find the Area of the upper bound, multiply the highest possible length and the highest possible width:

A = 87.34 × 51.84 = 4527.7056

To find the Perimeter of the lower bound, calculate the perimeter using the lowest possible length and the lowest possible width:

P = 2(87.25 + 51.75) = 278

8 0

3 years ago

Read 2 more answers

The nth term of a sequence is 3n + 2

gavmur [86]

Answer:

see explanation

Step-by-step explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term rule

$a_{1}$ = (3 × 1) + 2 = 3 + 2 = 5

$a_{2}$ = (3 × 2) + 2 = 6 + 2 = 8

$a_{3}$ = (3 × 3) + 2 = 9 + 2 = 11

------------------------------------------------------------------

substitute n = 10 into the n th term rule

$a_{10}$ = (3 × 10) + 2 = 30 + 2 = 32

3 0

4 years ago

Read 2 more answers

What did the pyramids show about the old kingdom dynasties of egypt?

igor_vitrenko [27]

Here is the answer to the given question above. The pyramids show strong leadership and economy, government, good supply of stone, well developed math and engineering skills of the old kingdom dynasties of Egypt. Hope this answers your question. Have a great day!

3 0

3 years ago

Goran made 6 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 6 necklaces

Tema [17]

  6b + 6p = 33.60 ; b=2.90

6(2.90) + 6p = 33.60

17.40 + 6p = 33.60
-17.40 -17.40

  6p = 16.20
/6 /6

  p = 2.70

ANSWER: each pendant costs $2.70

5 0

3 years ago

Solve the inequality for x: -5x - 49 > 113

Valentin [98]

-5x - 49 > 113
Add 49 to both sides
-5x > 162
Divide both sides by -5
x > -32.4
Hope this helps!

8 0

3 years ago

Read 2 more answers