Mathematics: Write a formula for the general term (the nth term) of the arithmetic sequence to find the sixth term of the sequence with the given first term and common difference.

Write a formula for the general term (the nth

antcobra

12.01.2022

a₆ = 54

Step-by-step explanation:

The general term of an arithmetic sequence is: $a_1, a_1 + d, a_1 + 2d, a_1 + 3d, \hdots$

where, $ a_1 $ is the first term and

$ d $ is the common difference.

The $n^{th}$ term of the sequence is given by $ a_n = a_1 + (n - 1)d $ .

Therefore, $ a_6 = a_1 + (6 - 1)d = a_1 + 5d $

$\implies a_6 = 14 + 5(8) = 14 + 40$

∴ a₆ = 54

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brillamontijo

22.02.2020

i dont know im as lost as you im just trying to get some points cuz im bored

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