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Diano4ka-milaya [45]
3 years ago
9

A sequence starts 1, 4, 9, 16 ... The nth term is n^2. Use this fact to find the nth term of the following sequences: a) 2, 5, 1

0, 17 b) 2, 8, 28, 32

Mathematics
1 answer:
OleMash [197]3 years ago
3 0

Answer:

n²+1

2n²

Step-by-step explanation:

We can see that 2, 5, 10, and 17 becomes 1, 4, 9, and 16 when we subtract 1.

So it adds 1. The nth will be n² + 1.

2, 8, 18, and 32 is the double of n². 1, 4, 9, and 16 are their half.

So the nth term becomes 2n².

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Hope this helps!

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3 years ago
What is the area of the figure?
Mrrafil [7]

Answer:

The shape has a total area of 14.96cm²

Step-by-step explanation:

To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.

The outer rectangle is 5.6 by 6.4 cm.  To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².

Next the inner rectangle needs to be subtracted.  First though, we need its width, which we're not directly given.

We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle.  All we need to do then is subtract the later from the former to the the inner rectangle's width:

5.6cm - 1.2cm - 0.8cm = 3.6cm

Great!  The inner rectangle has an area of 3.6cm × 5.8cm.  That gives us 20.88cm².

The final step is to subtract that 20.88 square cm from the 35.84 that we already have.  Doing so gives us a result of 14.96cm², and that is the final answer.

5 0
2 years ago
Read 2 more answers
In her wallet, Ms. Thompson has one-dollar, five-dollar and ten-dollar bills totaling $171. She has the same number of five-doll
Phantasy [73]
 6 one-dollars = $6 15 five-dollars = $75 9 ten-dollars = $90 Add them all up to get $171, so that is correct. Add the number of one-dollar bills and the number of ten-dollar bills together. 6 + 9 = 15, which is the number of five-dollar bills, so that is correct as well. Add all the numbers of bills together, 6 + 9 + 15 = 15 + 15 = 30.
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3 years ago
A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
Rudik [331]
It takes 1 cup of flour.
8 0
3 years ago
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What is the length of the hypotenuse? If necessary, round to the nearest tenth.
exis [7]

Answer:

<h2><u><em>3.5 Km</em></u></h2>

Step-by-step explanation:

the length of the hypotenuse is 4 Km, it is probable that you are looking for the value of the cathetus a.

it is a right triangle and we use Pythagoras

a² = 4² - 2²

a² = 16 - 4

a² = 12

a = √12

a = 3.46 (round 3.5)

4 0
2 years ago
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