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4 years ago

What sequence has an nth term of a(n)=2n+1

Mathematics

1 answer:

Airida [17]4 years ago

4 0

Answer:

3, 5, 7, 9, 11, ......

Step-by-step explanation:

To obtain the first 5 terms in the sequence substitute n = 1, 2, 3, 4, 5 into the n th term formula, that is

a(1) = 2(1) + 1 = 2 + 1 = 3

a(2) = 2(2) + 1 = 4 + 1 = 5

a(3) = 2(3) + 1 = 6 + 1 = 7

a(4) = 2(4) + 1 = 8 + 1 = 9

a(5) = 2(5) + 1 = 10 + 1 = 11

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The price of a new dishwasher is £376. This price includes VAT at a rate of 17.5%. What was the price before VAT was added?

dsp73

£376=117.5% so (376/117.5)= 1% x 100= £320 is the original price

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3 years ago

Use slopes to determine if the triangle whose vertices are left parenthesis negative 3 comma 3 right parenthesis, left parenthe

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

vertices are A(-3,3),B(-2,4),C(4,0)

slope of AB=(4-3)/(-2+3)=1/1=1

slope of BC=(0-4)/(4+2)=-4/6=-2/3

slope of CA=(3-0)/(-3-4)=-3/7

two lines are perpendicular if product of slopes=-1

so it is not a right angled triangle .

4 0

4 years ago

Read 2 more answers

A 75% increase followed by a 33 1/2% decrease

o-na [289]

After 75% increase followed by a 33 1/2% decrease the net increased is 16.375%.

<u>Solution:</u>

Need to determine net percentage increase or decrease when a value is increased by 75% and then decreased by $33 \frac{1}{2} \%$ that is 33.5%.

Let’s assume initial value be represented by variable x.

$75 \% \text { decrease means } x+75 \% \text { of } x=x+\frac{75}{100} x=x+0.75 x=1.75 x$

Now there is decrease of 33.5%

$\begin{array}{l}{33.5 \% \text { decrease means } 1.75 x-33.5 \% \text { of } 1.75 x=1.75 x-\frac{33.5}{100} \times 1.75 x} \\\\ {=1.75 x-(0.335 \times 1.75) x=1.75 x-0.58625 x} \\\\ {=1.16375 x}\end{array}$

$\text { So increase in percentage }=\frac{\text { final value-initial value}}{\text { intial value }}$

$=\frac{1.16375 x-x}{x} \times 100=16.375 \%$

Hence after 75% increase followed by a $33 \frac{1}{2} \%$ decrease the net increased is 16.375%.

8 0

3 years ago

What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....

11Alexandr11 [23.1K]

Answer: 117

Step-by-step explanation:

Formula for arithmetic sequence is:

= a + (n - 1)d

22nd term = a + (n - 1)d

= a + (22 - 1)d = a + 21d

where, a = 12

d = 17 - 12 = 5.

Therefore, 22nd term will be:

= a + 21d

= 12 + 21(5)

= 12 + 105

= 117

The 22nd term is 117

5 0

3 years ago

Im 21 assignments behind try your best <3

mestny [16]

Answer:

Step-by-step explanation:

Divide the minutes by 2 since 6 is half of 12.
Half of 1 is .5 or $\frac{1}{2}$
Half of 6 is 3
Half of 17 is 8.5

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

3 0

3 years ago

Read 2 more answers