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

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Answer 1 · 2017-02-27T10:47:06

$T_13 =52$

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,
$T_13 = 4 + (13-1)*4$

$T_13 = 4 + (12)*4$

$T_13 = 4 + 48 =52$

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