11, 14, 17, ...
Find the 42nd term.

Step-by-step explanation:

5

,

8

,

11

,

14

,

17

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

3

to the previous term in the sequence gives the next term. In other words,

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:  

d

=

3

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of

a

1

=

5

and

d

=

3

.

a

n

=

5

+

(

3

)

(

n

−

1

)

Simplify each term.

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

omg what happend to your question? if you could edit this question i can

step-by-step explanation: