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Mathematics 16 Online
OpenStudy (anonymous):

closed

ganeshie8 (ganeshie8):

thats a very good start ! so, u got \(r = 3\)

ganeshie8 (ganeshie8):

1st term = 1 = 3^0 2nd term = 3 = 3^1 3rd term = 9 = 3^2 4th term = 27 = 3^3 .... 15th term = ?

ganeshie8 (ganeshie8):

nope

ganeshie8 (ganeshie8):

try again

ganeshie8 (ganeshie8):

try again

ganeshie8 (ganeshie8):

stare a bit at the pattern :)

ganeshie8 (ganeshie8):

1st term = 1 = 3^0 2nd term = 3 = 3^1 3rd term = 9 = 3^2 4th term = 27 = 3^3 .... 15th term = 3^14

ganeshie8 (ganeshie8):

\(\huge 3^{14}\) is your 15th term

OpenStudy (anonymous):

3^14 = 4782969

ganeshie8 (ganeshie8):

yes

ganeshie8 (ganeshie8):

use below formula : \(n\)th term for arithmetic sequence : \(\large a_n = a + (n-1)d\) \(a\) = first term \(d\) = common difference

ganeshie8 (ganeshie8):

-7, -3, 1, 5, 9, \(a = -7\) \(d = 4\)

ganeshie8 (ganeshie8):

so, the 1000th term : \(\large a_{1000} = -7 + (1000-1)*4\)

ganeshie8 (ganeshie8):

simplify

ganeshie8 (ganeshie8):

remember below : ##arithmetic sequence : if first term = \(a\) common difference = \(d\) then, \(n\)th term is given by : \(\color{red}{a_n = a + (n-1)d}\) ##geometric sequencce : if first term = \(r\) common ratio = \(r\) then, \(n\)th term is given by : \(\color{red}{a_n = ar^{n-1}}\)

ganeshie8 (ganeshie8):

why did u delete replies lol :/

ganeshie8 (ganeshie8):

wat did u get after simplifying ?

ganeshie8 (ganeshie8):

u shouldnt get a really long number

ganeshie8 (ganeshie8):

\(\large a_{1000} = -7 + (1000-1)*4 \) \(\large ~~~~~~~~= -7 + (999)*4 \) \(\large ~~~~~~~~= -7 + 3996\) \(\large ~~~~~~~~= 3989\)

ganeshie8 (ganeshie8):

you got that ha ?

ganeshie8 (ganeshie8):

@iappreciateyourhelp

ganeshie8 (ganeshie8):

may i knw the really long answer u got ha ?b

ganeshie8 (ganeshie8):

okay fine

ganeshie8 (ganeshie8):

btw deleting ur replies is not okay

ganeshie8 (ganeshie8):

openstudy is not meant for using as whiteboard

ganeshie8 (ganeshie8):

it is for learning and growing

ganeshie8 (ganeshie8):

you can leave ur replies as it is, there is no harm in others looking at them and learning from our discussion

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