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padilas [110]
3 years ago
5

For each sequence,find the first 4 terms and the 10th term a) n+5 b)2n-1

Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

a)6,7,8,9 and 10th term is 15.

b)1,3,5,7 and 10th term is 19.

Step-by-step explanation:

Given a) n+5

b)2n-1

Solution for  a) n+5

Taking the value of n is 1 we get the first term of the sequence;

n+5=1+5=6

Similarly taking the value of n 2,3,4 we get;

2+5=7\\3+5=8\\4+5=9

And for 10th term we take the value of n is 10 and get;

n+5=10+5=15

So the solution for 1st sequence is 6,7,8,9 and 10th term is 15.

Solution for  b)2n-1

Taking the value of n is 1 we get the first term of the sequence;

2n-1=2\times1-1=2-1=1

Similarly taking the value of n 2,3,4 we get;

2n-1=2\times2-1=4-1=3\\2\times3-1=6-1=5\\2\times4-1=8-1=7

And for 10th term we take the value of n is 10 and get;

2n-1=2\times10-1=20-1=19

So the solution for 2nd sequence is 1,3,5,7 and 10th term is 19.

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3 years ago
In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.
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Answer:

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Step-by-step explanation:

a)

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}

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s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078

b) For 2012, s=9. For 2014, s=11

\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

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3 years ago
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A cone with radius 333 units is shown below. Its volume is 575757 cubic units. Find the height of the cone. Use 3.143.143, point
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Answer: 6.05 units

Step-by-step explanation:

<em>Correct question is:</em>

<em>A cone with radius 3 units is shown below. Its volume is 57 cubic units. Find the height of the cone. Use 3.14 for pi and round your final answer to the nearest hundredth.</em>

Hi, to answer this question we have to apply the next formula:

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7 0
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