Question

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

Answer 1

`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`