Question

Write an expression to describe a rule for the sequence. Then find the 100th term in the sequence.
5, 13, 21, 29, 37, 45, …
• 8n; 800
• 8n – 3; 797
• 3n – 8; 292
• n + 8; 108
my answer is D check my work plz

Answer 1

See, here you are asked to find the general term first and using that you are to find 100th term..

Now, in this formula:

a n =a+(n−1)d


a n is your general term or you can say the nth term.
a is your first term in the sequence, (here it is 4)
n is number of terms.
d is common difference. (In this case : 5)

So, these values you have to substitute in that formula, you will get:

a n =4+(n−1)(5)⟹a n =4+5n−5⟹a n =5n−1
So, this is your general term..

Now can you find 100th term here?

Hint : you have to just put n = 100 in the following general term you have got:
a n =5n−1

Here just put n=100 and find a n .

General term means a n that in turn means "Rule for a Particular Sequence".

Here :

a n =5n−1 is Rule of the sequence you are given with..

Hope this helps, have a nice day. Tag me on anymore math help you need!