What is a simple formula to solve a math sequence? Or a couple formulas if possible? Thanks!
1 answer:
2 normal types of sequences:
1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2
2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2
the nth term is denoted by
the first term is represented by
for arythmetic sequences, the nth tem is
where d=distance between each term
for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms
1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2
2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2
the nth term is denoted by
the first term is represented by
for arythmetic sequences, the nth tem is
for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms
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Hehe, these are fun to do. There are two ways to do this kind of problem. You can use the pythagorean theorem or we can use the distance formula.
Distance formula:
Pythagorean Theorem:
Distance formula is better if you're finding distance between two coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.
I'll work the first one out for you:
x1 y1 x2 y2
(3, 2) & (7, 4)
v
v
v
There's your answer!
<em>
</em><em>I spent a lot of time making this answer to help you. Please rate it Brainliest!</em>
Distance formula:
Pythagorean Theorem:
Distance formula is better if you're finding distance between two coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.
I'll work the first one out for you:
x1 y1 x2 y2
(3, 2) & (7, 4)
v
v
v
There's your answer!
<em>
</em><em>I spent a lot of time making this answer to help you. Please rate it Brainliest!</em>