Question

find the 50th term of the sequence 5 -2 -9 -16 ...

Answer 1

Looks like you are subtracting the same number each time.

Answer 2

yeah its -7 so whats the 50th term?

Answer 3

how do you create a formula for these sequences

Answer 4

I give medals ;(

Answer 5

i c u sam

Answer 6

halp ;-;

Answer 7

It's an arithmetic progression, what do you think?

Answer 8

To find the 50th term or any term in an AP, firstly, you should find the common difference d. That is you'd pick a number from that sequence and subtract the previous number.

Common difference d=-2-5=-7

Answer 9

You can verify your common difference by doing the same for the subsequent numbers,

Common difference d=-9-(-2)=-9+2=-7

Now using the AP formula \(a_n=a_1+(n-1)d\) where \(a_n\) is the nth term and \(a_1\) is the first term.

\[a_n=a_1+(n-1)d \\ \\ a_{50}=5+(50-1)(-7) \\ \\ a_{50}=?\]

Answer 10

Everything good?

Answer 11

\[a_n=a_1+(n-1)d \\ \\ a_{50}=5+(50-1)(-7) \\ \\ \]

Answer 12

Please simplify that quantity within parentheses: (50-1). Your answer?

Re-write the expression for a_50 using this result. Share it here, please.

Answer 13

oh i finished this like an hour ago lol.