Question

i need help with a math pattern

Answer 1

fibonnacci?

Answer 2

no, it's an algebra pattern question about terms of a pattern

Answer 3

it might be useful if you give us the question so that we have a better understanding of it

Answer 4

Here's the question: The first 50 terms of a pattern sum to 2000. a) Describe the pattern. b) Describe how you found the sum. c) Give the 100th term of the pattern. d) List all the patterns that you found.

Answer 5

well, there are 2 sequence summations that we can use; and arithmatic and a geometric

Answer 6

we haven't been doing geometry, so it's probably the arithmatic

Answer 7

\[\sum_{n=1}^{50}a_1+d(n-1)=\frac{50(a_1+a_{50})}{2}\]

Answer 8

\[\sum_{n=1}^{50}a^1*r^{n-1}=a_1\frac{1-r^50}{1-r}\]

Answer 9

this is a 6th grade homework question

Answer 10

r^(50) that is; forgot to wrap it in a {}

Answer 11

i'm not following you

Answer 12

lets do arith then :)
\[\frac{50(a_1+a_{50})}{2}=2000\]
\[{25(a_1+a_{50})}{}=2000\]
\[{a_1+a_{50}}{}=2000/25\]
\[{a_1+a_{50}}{}=80\]
sound good?

Answer 13

ok, thanks for your help. so then we could set any number as the first term and go from there?

Answer 14

correct; choose any 2 numbers that add up to 80; and work in the summation rule for the rest of it to get the details of the common difference

Answer 15

ok, that works. thanks again

Answer 16

\[a_{80}=a_1+d(80-1)\]