Question

Find the 30th term of the following sequence.

1, 7, 13, 19, ...

174
175
180
181

Answer 1

try \(1+6\times29\)

Answer 2

you can use arithmetic progression:


Therefore in your case, if you look at your sequence:
1, 7 , 13, 19

Can you see that that first term is 1? AND the difference between the terms is 6?
So basically 1 + 6 = 7
7 + 6 = 13
13 + 6 = 19 , etc.
So therefore
a = 1
d = 6
and your n (number of terms) = 30 because we're trying to find the 30th term

SO,