Question

What is the term-to-term rule for this sequence?
2,8,14,20,26.... ​

Answer 1

Answer:

The given sequence 2,8,14,20…is in Arthimetic progression as each succeeding terms differ by a common number 6 except first term.

The nth term of Ap is given by

an=a+(n-1)d

From the question,

a=2

n=50

d=6

So, a50=2+(50-1)6

=2+(49)6

=2+294

=296

Therefore the 50th term of the sequence is 296