Question

The sixth term is 22 and the common difference is six what is the fiftieth term

Answer 1

ANSWER

The fiftieth term is 286.

Step-by-step explanation

A sequence with a common difference,


`d = 6`

is an arithmetic progression.

The nth term is


`a_n=a_1 + d(n - 1)`

If the sixth term is 22 then,


`22=a_1 + 6(6 - 1)`


`22=a_1 + 30`


`22 - 30=a_1`


`a_1 = - 8`

The fiftieth term is


`a_(50)= - 8 + 6(50 - 1)`


`a_(50)= - 8 + 6 *4 9`


`a_(50)=- 8 +294`



`a_(50)=286`