21. Find the nth term for the sequence 1, 5, 9, 13, ...

22. Explain why 95 will not be a term in the sequence given in Q21.

21.

an=a1+d (n-1)

a1=first term

an=nth term

d=common differnce

n=which term

firs term is 1

common differnce is 4 (1+4=5)

so

an=1+4 (n-1)

or

an=1+4n-4

an=-3+4n

22.

solve for n such that

-3+4n=95

add 3 to both sides

4n=98

divide both sides by 4

n=24.5

we can't have a non-whole number for n because it names a number, we can't have the 24.5th number, we can have the 24th or 25th, but not the 24.5th

You add 4 to the continued number 5 more times