Question

HELP PLEASE
The first four terms of a number sequence is given by:
3,5,7,9
Write down
a. The 5th term
b. The 10th term
c.the nth term,in terms of n.
(I got the first two (a,b) but i'm unable to get c)

Answer 1

A sequence \[a_{1}, a _{2}, a_{_{3}} .. . .. .a _{n} \] is an arithmetic sequence if there is a real number d such that for every positive integer k,

\[a _{k+1}=a _{k} + d \]

Answer 2

common difference d=5-3=2
tn=a+(n-1)d
here a=3
find tn

Answer 3

Didnt understand

Answer 4

Tn is 2n+1

Answer 5

The number \[d = a _{k+1} - a _{k}\] is called the common difference of the
sequence.

Answer 6

tn=3+(n-1)2
=3+2n-2
=2n+1

Answer 7

I just said that @surjithayer

Answer 8

Ik and the common difference is 2 here. @rock_mit182

Answer 9

of course and the first term is 3

Answer 10

so you could use this formula

Answer 11

Yeah so how am i going to find the nth term in the terms of n??

Answer 12

i did and found out for the first two

Answer 13

\[a _{n} = a _{1} + (n-1)d\]

Answer 14

where \[a _{n}\] represents the nth term, that you want to find

Answer 15

and n, also represents that nth term

Answer 16

Okay i get it thanks:)

Answer 17

;)