- #1
Michael_Light
- 113
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Homework Statement
Need help with number (9)..
Homework Equations
The Attempt at a Solution
Can anyone give me some hints? Thanks.
Arithmetic progression homework
- Thread starter Michael_Light
- Start date
In summary, an arithmetic progression is a sequence of numbers with a constant difference between consecutive terms. The common difference can be found by subtracting any two consecutive terms, and the formula for finding the nth term is a<sub>n</sub> = a<sub>1</sub> + (n-1)d. The sum of an arithmetic progression can be found using the formula S<sub>n</sub> = (n/2)(a<sub>1</sub> + a<sub>n</sub>). It is possible for an arithmetic progression to have a negative common difference, resulting in decreasing terms.
Need help with number (9)..
Can anyone give me some hints? Thanks.
- #2
tiny-tim
Science Advisor
Homework Helper
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Think. Subtract.
- #3
Suk-Sci
- 44
- 0
Sn=3n2 + 4n
Hint:
S1=3+4=7
S2=12+8=20
FAQ: Arithmetic progression homework
What is an arithmetic progression?
An arithmetic progression is a sequence of numbers where the difference between any two consecutive terms is constant. For example, in the sequence 2, 5, 8, 11, 14, the difference between each term is 3.
How do I find the common difference in an arithmetic progression?
The common difference in an arithmetic progression can be found by subtracting any two consecutive terms in the sequence. For example, in the sequence 2, 5, 8, 11, 14, the common difference is 5 - 2 = 3.
What is the formula for finding the nth term in an arithmetic progression?
The formula for finding the nth term in an arithmetic progression is:
an = a1 + (n-1)d
Where an is the nth term, a1 is the first term, and d is the common difference.
How do I determine the sum of an arithmetic progression?
The sum of an arithmetic progression can be found using the formula:
Sn = (n/2)(a1 + an)
Where Sn is the sum of the first n terms, a1 is the first term, and an is the nth term.
Can an arithmetic progression have a negative common difference?
Yes, an arithmetic progression can have a negative common difference. This means that the terms in the sequence will decrease by a constant amount instead of increasing.