Time remaining:
##### Find the Nth Term Using Algebraic Expression

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

toriallen2000@aol.com

which algebraic expression can be used to find the nth term in the following sequence?

6,10,14,18,22,...

Oct 22nd, 2017

 Given the sequence 6,10,14,18,…… a) Find the nth term b) the 20th term c)If the nth term is 42, what is the value of n?

We look at the differences between each term
6 10 14 18
\ _/\_ /\_ /
4 4 4
The difference is four
The general formula for the nth term is:
 nth term = a + (n-1)d
where a = the first term =6
n = the number of the term
D = the difference = 4
For this sequencenth term = 6 + (n-1)4
= 6 + 4n - 4
= 2 + 4n
We can now use this formula to work out the value of any term in the sequence.
b)20th term =
2 + 4 x 20
= 82
because n = 20
c)nth term = 42
42 = 2 + 4n
40 = 4n
n = 10

So the 10th term is 42.

This formula will work for any linear sequence. In a linear sequence the difference is constant. 4 in the sequence above.

choose me best i am waiting

Sep 1st, 2014

...
Oct 22nd, 2017
...
Oct 22nd, 2017
Oct 23rd, 2017
check_circle