Answer: the nth term of the sequence 14, 19, 24, 29 is: 5n+9 so the 100th term of the sequence will be 509.
explanation below:
Step-by-step explanation:
to find the 100th term we will have to find the nth term of the sequence when we have the nth term we need to replace n with the term we need to find and multiply it with the number behind n then subtract or add the number and u will get ur answer.
I hope this helps
Answer:
an=9+5n
a100=509
Step-by-step explanation:
a1=14
19-14=5
24-19=5
29-24=5
d=5
an=a1+(n-1)d
an=14+(n-1)(5)
an=14 +5n -5
an=9+5n
an=a1+(n-1)(d)
a100=14+(100-1)(5)
a100=14+(99)(5)
a100=14+495
a100=509
or
an=9+5n
a100=9+5(100)
a100=9+500
a100=509