What is the 30th term of the following sequence 2, 8, 14, 20?

1 Answer
Aug 7, 2016

Answer:

#T_30 = 176#

Explanation:

By finding the difference (subtracting) the consecutive terms, we fins that the terms differ by 6. SO the next term would be 20+6 .... and so on. This is an A.P.

The general term for an AP is given by
#T_n = a + (n-1)d#,
#a # = first term = 2
#n# = number of terms, or the position of a particular term,
#d# = common difference = 6
#T_n# is the value of a term in a particular position.

In this case .. #T_5 = 26#

#T_30 = 2 +29(6)#

#T_30 = 176#