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.

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

$a_{50}= - 8 + 6(50 - 1)$

$a_{50}= - 8 + 6 \times4 9$

$a_{50}=- 8 +294$


$a_{50}=286$