SOLUTION: Please help me solve the following problems. I've tried to solve the problem but I don't it correct. 1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,�to find the follow

Question 44039This question is from textbook
: Please help me solve the following problems. I've tried to solve the problem but I don't it correct.
1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,�to find the following:
a)What is d, the difference between any 2 terms?
Answer:
d = 2
Show work in this space.
3-1=2
5-3=2
b)Using the formula for the nth term of an arithmetic sequence, what is 101st term?
Answer:
an = 1 + (n - 1)2

Show work in this space.

c)Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Answer:
Sum a20 = 400
Show work in this space
Sum an = n[2a1 + (n - 1)d] / 2
Sum a20 = 20[2 + (20 - 1)2] / 2
Sum a20 = 10[2 + (20 - 1)2]
Sum a20 = 10[2 + (19)2]
Sum a20 = 10[2 + 38]
Sum a20 = 10[40]
Sum a20 = 400

d)Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:

Sum a20 = 900

Show work in this space
Sum an = n[2a1 + (n - 1)d] / 2
Sum a20 = 30[2 + (30 - 1)2] / 2
Sum a20 = 15[2 + (30 - 1)2]
Sum a20 = 15[2 + (29)2]
Sum a20 = 15[2 + 58]
Sum a20 = 15[60]
Sum a20 = 900

e)What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
Answer:

N an Sum
1 1
2 3 4
3 5 9
4 7 16
5 9 25
6 11 36
7 13 49
8 15 64
9 17 81
The sum of the nth in the series is the square of n. This question is from textbook

Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
SEE MY COMMENTS BELOW
Please help me solve the following problems. I've tried to solve the problem but I don't it correct.
1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,�to find the following:
a)What is d, the difference between any 2 terms?
Answer:
d = 2....CORRECT
Show work in this space.
3-1=2.......7-5=9-7=2...C.D.IS CONSTANT =2..HENCE A.P.
5-3=2
b)Using the formula for the nth term of an arithmetic sequence, what is 101st term?
Answer:
an = 1 + (n - 1)2
Show work in this space.
A101=1+(101-1)*2=1+200=201
c)Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Answer:
Sum a20 = 400..........PERFECT..
Show work in this space
Sum an = n[2a1 + (n - 1)d] / 2
Sum a20 = 20[2 + (20 - 1)2] / 2
Sum a20 = 10[2 + (20 - 1)2]
Sum a20 = 10[2 + (19)2]
Sum a20 = 10[2 + 38]
Sum a20 = 10[40]
Sum a20 = 400

d)Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
Answer:
Sum a20 = 900..................EXCELLENT
Show work in this space
Sum an = n[2a1 + (n - 1)d] / 2
Sum a20 = 30[2 + (30 - 1)2] / 2
Sum a20 = 15[2 + (30 - 1)2]
Sum a20 = 15[2 + (29)2]
Sum a20 = 15[2 + 58]
Sum a20 = 15[60]
Sum a20 = 900

e)What observation can you make about these sums of this series (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)? Express your observations as a general formula in "n."
Answer:
N an Sum
1 1
2 3 4
3 5 9
4 7 16
5 9 25
6 11 36
7 13 49
8 15 64
9 17 81
The sum of the nth in the series is the square of n. OUTSTANDING!!!
YOU DID OUTSTANDING JOB..WHY ARE YOU HAVING DOUBT!!BE CONFIDENT
RELATED QUESTIONS
Hi, I've tried solving this equation in multiple ways but can't seem to crack it. The... (answered by MathLover1,josgarithmetic,greenestamps)

Hi. I need help on how to solve the following problem. I've tried solving it many times... (answered by venugopalramana)

I have tried to solve y=2x and I've tried graphing it but it keeps saying I am doing it... (answered by MathLover1,josgarithmetic)

I need help for this system , can you please help me? I will really appreciate it 1/x + (answered by scott8148)

OK , here is the problem, solve for x. x^(1+ln x)= 7,39 Doesn�t look that complicated... (answered by longjonsilver)

Hello, I need help in solving the following problem, I have tried but I do not... (answered by nerdybill,richwmiller)

Please help me with this problem. I have similar problems in my homework but it does not... (answered by solver91311,edjones)

Hello, I am confused on this question | q - 8 | = 14 , I've tried it but I've gotten... (answered by josgarithmetic,MathTherapy,ikleyn)

Please help me solve this problem: There are two hoses filling up a pool. The two hoses... (answered by ikleyn)

I get the general idea on how to set up the problems, but when I tried to solve it... (answered by josgarithmetic)