Question

How do you find an equation that describes the sequence `4, 8, 12, 16,...` and find the 13th term?

Answer 1

`T_13 =52`

Explanation:

This sequence is an arithmetic progression because
`T_2-T_1 =T_3-T_2=T_4-T_3=d=4`, where d = common difference.

For arithmetic progression,
`T_n = a + (n-1)d`, where `a=`first term, n = number of term.

Therefore,
`T_13 = 4 + (13-1)*4`

`T_13 = 4 + (12)*4`

`T_13 = 4 + 48 =52`